The expectancy theory that could be phrased as the above question is based on the element called expectancy.
In this question,
Expectancy theory proposes that an individual will behave or act in a certain way because they are motivated to select a specific behavior over others due to what they expect the result of that selected behavior will be.
To make the connection between motivation, effort and performance, expectancy theory has three variables: Expectancy, Instrumentality and Valence.
Expectancy theory consists of three basic components:
(1) The employee's expectancy that working hard will lead to his or her desired level of performance;
(2) The employee's expectancy that working hard will thus ensure that rewards will follow; and
(3) Whether or not the employee's perception that the outcome of working hard is worth the effort or value associated with hard work.
VIE expectancy theory is often formulated using the equation MF (motivational forces) = V (valence) x I (instrumentality) x E (expectancy).
From the definition, the probability that, "if i do a good job, that there will be some kind of outcome in it for me" is comes under the element expectancy(E).
Hence we can conclude that the expectancy theory that could be phrased as the above question is based on the element called expectancy.
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X
-3
-1
1
3
f(x) = -x + 7
f(x)
8
2323
20
6
Determine the input that would give an output value of
W/N!
2
X=
=-3x+7
Answer: 19
Step-by-step explanation:
Multiplying both sides of the equation by [tex]-3[/tex] gives that [tex]x=19[/tex].
If tan A 3/4 find the value of: sin2A
Answer:
24/25
Step-by-step explanation:
use tan^-1 to find the angle
tan^-1(3/4)=36.86989765°
A =36.86989765°
2A= 2×36.86989765
=73.73979529°
sin2A>>>>sin(73.73979529°)
=24/25 or 0.96
Answer:
sin2A = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
using the identity
sin2A = 2sinAcosA
given
tan2A = [tex]\frac{3}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
then this is a 3- 4- 5 right triangle with
hypotenuse = 5, opposite = 3 , adjacent = 4 , then
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{5}[/tex] and cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]
Then
sin2A = 2 × [tex]\frac{3}{5}[/tex] × [tex]\frac{4}{5}[/tex] = [tex]\frac{2(3)(4)}{5(5)}[/tex] = [tex]\frac{24}{25}[/tex]
What is the simplified form of the following expression?
2√27+√12-3√3-2√12
O√3
O 9√3
O 11 √3
O 15√3
Answer:
[tex] \sqrt{3} [/tex]
Step-by-step explanation:
27 is 3×3×3 from square root we can take 3 out as 3^2 elimate square root and remaining 3 is under root
The following formula relates three quantities: Force (F), mass (m), and acceleration (a). F = ma
F = ma is [tex]a=\frac{F}{m}[/tex]
Why is the formula F=ma?The equation for Newton's Second Law of Motion is F = ma. Force is equal to the rate of change of momentum, according to the definition of Newton's Second Law of Motion. Force is defined as mass times acceleration for a constant mass.The following formula relates three quantities: Force (F), mass (m), and acceleration (a). F = ma
F = ma
F= force
m= mass
a= acceleration
[tex]F = ma[/tex]
Divide both sides by the mass
[tex]a=\frac{F}{m}[/tex]
F = ma is [tex]a=\frac{F}{m}[/tex]
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In mr. wilson's geometry class, 12 of the students received a's and 20 received b's. in his statistics class, 11 of the students got a's and 15 got b's. in which class did mr. wilson's students earn a higher ratio of a's to b's? a. statistics b. neither, the ratios are equivalent c. geometry d. not enough information
In (A) statistics class Wilson's students earn a higher ratio of a's to b's.
What are ratios?A ratio in mathematics describes how many times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.To find the higher ratio:
Given -
Geometry class = a:b = 12:20 = 3:5Statistics class = a:b = 11:15As we can observe that 3:5 < 11:15.
Therefore, in (A) statistics class Wilson's students earn a higher ratio of a's to b's.
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PLEASE HELP ME SOLVE THE QUESTION BELOW
Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at 12 % annual interest rate, compounded quarterly , in order to have 20,000$ in the fund at the end of 10 years?
For Ann and Tom to have $20,000 at the end of 10 years, they must deposit a sum of $6,131.14.
What is the principal?
To calculate the sum of money they must deposit, use the compound interest formula.
From the compound interest formula;
P = A / ( 1 + r/n )^(nt)
Given that;
Final amount A = 20,000Interest rate r = 12% = 12/100 = 0.12Compound n = quarterly = 4Time t = 10 yearsPrincipal P = ?P = A / ( 1 + r/n )^(nt)
P = 20,000 / ( 1 + 0.12/4 )^(4×10)
P = 20,000 / ( 1.03)^40
P = 20,000 / 3.26203779
P = $6,131.14
Therefore, for Ann and Tom to have $20,000 at the end of 10 years, they must deposit a sum of $6,131.14.
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There was an earthquake in San Francisco April 18, 1906. More recently there was another earthquake in Columbia June 27, 2014. Earthquakes are measured using the associated amplitude on the Richter scale. Let a1 be the amplitude for the San Francisco earthquake and a2 be the amplitude for the Columbian earthquake.
San Francisco earthquake equations is below:
R1=log(a1/T)+B=7.8
Columbia earthquake equations is below:
R2=log(a2/T)+B=5.6
a. Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below: a1/a2
Solving a logarithmic equation, it is found that the San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.
How to find the ratios of the intensity of earthquakes?As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are R1 and R2, with R1 greater than R2, the ratio of the intensities, that is, how much intense R1 is than R2, is given as follows:
[tex]r = 10^{\frac{R_1}{R_2}}[/tex]
For this problem, the intensities are given as follows:
San Francisco: R1 = 7.8.Columbia: R2 = 5.6.Then, the ratio of the intensities is given as follows:
[tex]r = 10^{\frac{7.8}{5.6}} = 24.71[/tex]
The San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.
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The scale of a map is 1:250000. On the map a large forest has an area of 6cm². Calculate the actual area of the forest. Give your answers in square kilometers.
The distance on map exists 32 cm and actual area exists 37.5 km².
How to estimate the actual area of the forest in square kilometers?
Given: Scale of the map exists at 1:250000.
(a) Distance between two cities = 80 km
= 80000 m
= 8000000 cm
Distance on map = 8000000 [tex]*[/tex] 1/ 250000
= 32 cm
(b) Area of map = 6 cm²
Actual area = [tex]6(250000)^2[/tex] cm²
[tex]= 6 * 625 * 10^8[/tex] cm²
[tex]= 3750 * 10^8/ 10^{10}[/tex]
= 37.5 km²
Therefore, the distance on map exists 32 cm and actual area exists 37.5 km².
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Lines de and ab intersect at point c. lines d e and a b intersect at point c. angle a c e is (2 x 2) degrees. angle e c b is (5 x 3) degrees. what is the value of x? 12 25 38 52
The correct option is B.
The value will be = 25
What is the Angles of the triangle?
The sum of the two interior angles that are not adjacent to it equals the exterior angles of a triangle, but the interior angles of a triangle always add up to 180°. Subtracting the angle of the desired vertex from 180° is another method for determining a triangle's exterior angle.
Suppose point C is where lines DE and AB converge.∠ACE = (2x+2)°
∠ECB = (5x+ 3)°
Angles ACE and ECB are additional angles according to the linear postulate, as seen in the attached diagram.
Therefore:
∠ACE+∠ECB = 180°
(2x+2)+(5x+3) = 180
2x+ 5x+ 2+ 3 = 180
7x + 5 = 180
7x = 175
x= 175/7
x = 25
Thus the value will be = 25
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I understand that the question you are lookin for is :
Lines de and ab intersect at point c. lines d e and a b intersect at point c. angle a c e is (2 x 2) degrees. angle e c b is (5 x 3) degrees. what is the value of x?
A.12
B. 25
C. 38
D. 52
Select the correct answer.
A survey was given to randomly selected employees who drive to work. Each employee was asked to report if they had received a speeding ticket on their morning commute to work any time in the last year. The results are in the table. Which conclusion can be made from the data?
The conclusion that can be made from the data is that the probability illustrates that the employees who regularly leave for work late as less likely to receive a speeding ticket than employees who regularly leave for work early or on time.
What is probability?It should be noted that probability simply means the likelihood of the occurence of an event.
In this case, the survey was given to randomly selected employees who drive to work and eagh employee was asked to report if they had received a speeding ticket on their morning commute to work any time in the last year.
Therefore, the conclusion is that the the employees who regularly leave for work late as less likely to receive a speeding ticket than employees who regularly leave for work early or on time.
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Answer: B: The probability of an employee receiving a speeding ticket given that they regularly leave for work early or on time is less than the probability of an employee not receiving a speeding ticket given that they regularly leave for work late.
Step-by-step explanation:
trust me :)
300 high school students were asked how many hours of TV they watch
per day. The mean was 2 hours, with a standard deviation of 0.5. Using a
90% confidence level, calculate the maximum error of estimate.
Using the z-distribution, it is found that the maximum error of the estimate is of 0.0475 hours.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
For this problem, the values of the parameters are given as follows:
[tex]\sigma = 0.5, n = 300[/tex]
We have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
Thus the maximum error of the estimate in hours is found as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.645\frac{0.5}{\sqrt{300}}[/tex]
M = 0.0475 hours
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Answer:
4.75%
Step-by-step explanation:
Given: μ=z σ=0.5 ∩=300 CL=90%
Maximum error [tex]=Za/2*\frac{6}{\sqrt{n} } \\[/tex]
[tex]=1.645*\frac{0.5}{\sqrt{300} } \\=0.0475\\[/tex]
= 4.75%
The slope of the line below is -3 which of the following point-slope form of the line?
Answer:
The "point-slope" form of the equation of a straight line is:
\begin{gathered}y-y_1=m(x-x_1)\\\\(x_1;\ y_1)\ is\ a\ known\ point\\\\m\ is\ the\ slope\ of\ the\ line\end{gathered}y−y1=m(x−x1)(x1; y1) is a known pointm is the slope of the line
We have:
m=-3;\ (x_1;\ y_1)=(2;-2)m=−3; (x1; y1)=(2;−2)
Substitute
\begin{gathered}y-(-2)=-3(x-2)\\\\y+2=-3(x-2)\end{gathered}y−(−2)=−3(x−2)y+2=−3(x−2)
Answer: B. y + 2 = -3(x - 2
You are on a jungle expedition and come to a raging river. You need to build a bridge across the river. You spot a tall tree directly across from you on the opposite bank (point ). You place a pole in the ground to mark the position directly across from the tree. From the spot you are standing, you walk directly downstream 16 feet and place another pole (point ). You keep walking down stream and mark a third spot with a pole that is 7 feet from your last pole (point ). Turning perpendicular from the last pole, you walk away from the river 9 feet to another position and place a fourth pole (point ).
a. Determine if the two triangles are similar. Explain which similarity theorem you used and why.
b. Use proportions to calculate the distance across the river.
A large tree is close to point and we could chop it down at an angle to reach point and safely cross the river.
c. How tall does the tree need to be to span the river from point to ?
PLEASE HELP ITS MATH PLEASE
Answer:
y=3x-5
Step-by-step explanation:
they are parallel meaning that only the constant is changing
-2 = 3(1) - (something)
-2 = 3 - (something)
something = 5. - > that was 3+2
so y=3x+(-5)
The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as to manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is your conclusion from the following sample information? Use the 0.05 significance level.
The conclusion based on the hypothesis is that do not reject the null hypothesis as the row an column factors are independent.
How to make the conclusion?From the information given, the null hypothesis is that the row and the column factors are independent. The alternative hypothesis is that they're dependent.
This was run by using the Chi square test and the following information was gotten:
Test statistic = 2.5234
P- value = 0.1122
Degree of freedom = (2-1)(2-1) = 1
Since the p value is equal to 1%, do not reject the null hypothesis as the row an column factors are independent.
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Answer and explanation in the attached file.
Which value of y completes the proportion?
18/27 = 2/y
A. 1
B. 2
C. 3
D. 9
I picked c.) 3 am I right?
Answer:
c. 3
yes you are right, good job!!
Step-by-step explanation:
18 divided by what equals 2?
18 / 2 = 9 so 18 / 9 = 2
so 27 / 9 = y which y = 3
check: 9 x 3 = 27
Answer:
Yes, C
Step-by-step explanation:
18/2 = 9 so you need to divide 27 by 9 to get 3
Find the surface area of the pyramid with a regular pentagon as its base. Round to the nearest tenth if necessary. (13 is the length of the edge not the slant)
The surface area of this pyramid with a regular pentagon as its base is equal to 851.09 square units.
How to calculate the surface area?In Mathematics, a complete circle has a magnitude of 360° and when it is divided by the 10 triangles, the angle formed at the center of the pentagon would always be equal to 36°.
Also, the length of the apothem of a pentagon can be calculated by using this formula:
a = s/2tan(36)
Where:
a represents the length of the apothem of a pentagon.s represents the length of the sides of a pentagon.Substituting the given parameters into the formula, we have;
a = 10/2tan(36)
a = 10/1.45
a = 6.90 units.
Next, we would determine the slant height of this pyramid by applying Pythagorean theorem:
c² = a² + b²
c² = 6.9² + 13²
c² = 47.61 + 169
c² = 216.1
c = √216.1
c = 14.72 units.
For the surface area, we have:
Mathematically, the surface area of a pyramid with a regular pentagon as its base can be calculated by using this formula:
SA = 1.72l² × (5/2 × l × h)
SA = 1.72(14.72)² × (5/2 × 14.72 × 13)
SA = 372.69 + 478.4
SA = 851.09 square units.
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20. In the figure at right, ABDC lies in plane k and AD IDC.
AD is definitely perpendicular to k if which of the following is true?
(A) BDLDC (B) ADBC=AABC (C) ADBC is isosceles
(D) ADAB is similar to ADAC (E) none of these
The option that's true about the plane illustrated is E. None of these.
How to illustrate the plane?From the information given, it should be noted that DBC isn't an isosceles triangle.
Also, from the figure, one can see that DAB isn't similar to DAC.
Likewise, BD and DC aren't perpendicular.
In conclusion, the correct option is E.
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Three friends decide to go out to eat, and then go shopping. if there are 5 local restaurants and 4 good stores for shopping, how many possibilities are there for their big night out
Using the Fundamental Counting Theorem, there are 20 possibilities for their big night out.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For this problem, we have that:
There are 5 restaurants, hence [tex]n_1 = 5[/tex].There are 4 stores, hence [tex]n_2 = 4[/tex].The number of possibilities is given by:
N = 5 x 4 = 20.
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help i dont remember dis stuff from last year
See below for the solution to the systems of equations
How to solve the systems of equations?System of equations 1
Here, we have
3x - 4y = -16
3x + 4y = 8
We start by plotting the graph of both equations
Next, we write out the point of intersection of the equations
See attachment for the equation of the system
From the attached graph, the point of intersection of the equations is (-4/3, 3)
Hence, the solution to the system is (-4/3, 3)
System of equations 2
Here, we have
-x = - 6 + 2y
-18 + 6y = -3x
We start by plotting the graph of both equations
Next, we write out the point of intersection of the equations
See attachment for the equation of the system
From the attached graph, both lines are on each other
This means that the system of equations have infinite many solutions
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-(2021.0,7+19,75)+2021.0,7-(8-19,75)
Answer: -8.
Step-by-step explanation:
-(2021.0,7+19,75)+2021.0,7-(8-19,75)=-2021.0,7-19,75+2021.0,7-8+19,75=-8.
A shipment of inexpensive digital watches, including that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected?.
0.8926 percent of the time, the shipment will be rejected.
What is Probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:A delivery of 50 cheap digital watches, 10 of which are flawed.
A digital watch's likelihood of malfunctioning
P = 10/50
= 0.2
Size of sample: n = 10
Additionally, if they find one or more samples to be defective, they reject the entire cargo.
Making use of the binomial probability formula:
[tex]P(x)={ }^{n} C_{x} p^{x}(1-p)^{n-x}[/tex]
The random variable x should stand in for the quantity of defective watches.
The chance that the delivery will be refused is:
[tex]P(x \geq 1)=1-P(0)[/tex]
= [tex]1-{ }^{10} C_{0}(0.2)^{0}(0.8)^{10}[/tex]
= 1 - (0.8)[tex]^{10}[/tex]
= 0.8926
As a result, 0.8926 percent of the time, the shipment will be rejected.
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I understand that the question you are looking for is:
A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected
Indicate the equation of the line meeting the given conditions. Put the equation in standard form.
Containing E(4, 3) and A(6, 1)
Answer:
x + y = 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = E (4, 3 ) and (x₂, y₂ ) = A (6, 1 )
m = [tex]\frac{1-3}{6-4}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, 3 )
3 = - 4 + c ⇒ c = 3 + 4 = 7
y = - x + 7 ← equation in slope- intercept form ( add x to both sides )
x + y = 7 ← equation in standard form
Find the value of x in the given figure
Answer:
x = 36
Step-by-step explanation:
3x and 2x are a linear pair and sum to 180° , that is
3x + 2x = 180
5x = 180 ( divide both sides by 5 )
x = 36
When conducting a hypothesis test for a given sample size, if the probability of a type i error decreases, then the __________.
Based on the type I error, if a hypothesis test leads to the probability of a type I error decreasing, then the a. probability of incorrectly accepting the null hypothesis decreases.
What is a type I error?A type I error refers to when we are are engaged in a hypothesis test and end up rejecting the Null hypothesis even though it is true.
If we are in hypothesis tests and the probability of a type 1 error decreases, then it means that the probability of us correctly rejecting the null hypothesis when it is false increases.
It also means that the probability of us correctly accepting the null hypothesis when it is true increases as well.
This can further be said as the probability of us accepting the null hypothsis when it is false, decreases. There are therefore less chances of us incorrectly accepting the null hypothesis.
Options for this question include:
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(Geometry course question) Explain why it is not possible to construct an equilateral triangle that has
three vertices with integer coordinates. Show your work by providing an example and
including a graph. Consider an equilateral triangle whose base lies along the x-axis.
Answer:
√3 is irrational
Step-by-step explanation:
The location of the third point of a triangle can be found using a rotation matrix to transform the coordinates of the given points.
Location of point CWith reference to the attached figure, the slope of line AC is √3, an irrational number. This means the line AC never passes through a point with integer coordinates. (Any point with integer coordinates would be on a line with rational slope.)
Equilateral triangleThe line segments making up an equilateral triangle are separated by an angle of 60°. If two vertices are on grid squares, the third must be a rotation of one of them about the other through an angle of 60°. The rotation matrix is irrational, so the rotated point must have irrational coordinates.
The math of it is this. For rotation of (x, y) counterclockwise 60° about the origin, the transformation matrix is ...
[tex]\left[\begin{array}{cc}\cos(60^\circ)&\sin(60^\circ)\\-\sin(60^\circ)&\cos(60^\circ)\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}x'\\y'\end{array}\right][/tex]
Cos(60°) is rational, but sin(60°) is not. For any non-zero rational values of x and y, the sum ...
cos(60°)·x + sin(60°)·y
will be irrational.
As in the attached diagram, if one of the coordinates of the rotated point (B) is zero, then one of the coordinates of its image (C) will be rational. The other image point coordinate cannot be rational.
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number.
The solution to the system of equation is x < 44/3
Expansion of inequality expressionsInequality expressions are expressions not separated by an equal sign. An example of an inequality is a < b
Given the inequality expression below;
x + 2x + 6 < 50
Simplify to have:
3x + 6 < 50
Subtract 6 from both sides
3x + 6 - 6 < 50 - 6
3x < 50 - 6
3x < 44
Divide both sides by 3
3x/3 < 44/3
x < 44/3
Hence the solution to the system of equation is x < 44/3
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A rotating sprinkler head sprays water as far as 20 feet. the head is set to cover a central angle of . what area of grass will be watered?
The area of the grass that will be watered is given by 800/9 pi ft^2.
What is the area of a circle?
Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, etc. Area of Circle = πr2 or πd2/4, square units. where π = 22/7 or 3.14.The area of a circle of radius r is given by:
A = πr²
In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.
It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.
Hence the watered area in ft² is given by-
A = 2/9 π × (20)²
= 800π/ 9
Therefore, the area of the grass that will be watered is given by 800/9 pi ft^2.
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A population of rabbits has 20 offspring per pair of rabbits. a population of cheetahs has 2 offspring per pair of cheetahs. which population will be more affected by genetic drift?
Cheetahs population will be more affected by genetic drift
What is genetic drift?Genetic drift is the change in a population's frequency of an existing gene variant brought on by chance. Gene variations may totally vanish due to genetic drift, hence reducing genetic variation. Additionally, it may lead to the considerably greater frequency and even fixation of previously rare alleles.
What causes genetic drift?Random drift is a result of recurrently small populations, drastic population reductions known as "bottlenecks," and founder events in which a new population is created from a small number of individuals.
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Using it's concept, the experimental probability of getting an odd number and a number greater than 6 is given by:
1/5.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. An experimental probability is calculated considering the results of previous trials.
In this problem, there are 10 trials, and of those, 2 of them, trial 8 and trial 10, resulted in an odd number and a number greater than 6, hence the probability is:
p = 2/10 = 1/5.
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