When playing many games, players must roll a pair of dice and find the sum of the two numbers rolled. With two dice, there are 11 possible sums ranging from 2 through 12. What is the probability that a player will roll a sum of 11 on his first roll of two dice? Express your answer as a common fraction.

Answers

Answer 1

Answer:

[tex]Probability = \frac{1}{18}[/tex]

Step-by-step explanation:

Given

[tex]Dice = 2[/tex]

Required

Probability of getting sum of 11

First, we need to list out the sample space;

Represent the first dice with S1 and the second with S2

[tex]S_1 = \{1,2,3,4,5,6\}[/tex]

[tex]S_2 = \{1,2,3,4,5,6\}[/tex]

Represent the Sum of the outcome with S

So, the new sample space is the sum of outcome of S1 and S2

So, S is as follows:

[tex]S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]

Represent the number of sample space with n(S)

[tex]n(S) = 36[/tex]

To determine the probability of outcome of 11, we need to list out the number of outcomes of 11.

Represent this with n(11)

From the sample space above,

[tex]n(11) = 2[/tex]

The required probability is then calculated as thus:

[tex]Probability = \frac{n(11)}{n(S)}[/tex]

[tex]Probability = \frac{2}{36}[/tex]

Simplify to the least term

[tex]Probability = \frac{1}{18}[/tex]


Related Questions

Does this shape have rotational, reflection, both or none

Answers

there is no shape shown hun

Write each number in scientific notation.
1. 58,927

Answers

Answer:

58,927 converted to scientific notation is 5.8927  x 10^4 (10 to the fourth power

Step-by-step explanation:

A bag contains 15 marbles. The probability of randomly selecting a green marble is One-third. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is StartFraction 1 over 15 EndFraction. What is the probability of randomly selecting a red marble

Answers

Answer:

1/5

Step-by-step explanation:

Total Number of Marbles in the bag = 15

The probability of randomly selecting a green marble is 1/3

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble = 1/15

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is calculated as

The probability of randomly selecting a green marble × The probability of randomly selecting a red marble

Hence:

1/15 = 1/3 × R

1/15 = R/3

Cross Multiply

R × 15 = 1 × 3

R= 3/15

R= 1/5

Hence, the probability of randomly selecting a red marble is 1/5

A sugar mixture has 3 parts water and 2 parts sugar. Suppose the chef adds one more part to each. What is the new ratio of sugar to water?
2 parts sugar to 4 parts water
3 parts sugar to 4 parts water
3 parts sugar to 3 parts water
4 parts sugar to 3 parts water

Answers

Answer: 4 parts sugar to 3 parts water would be the answer

Step-by-step explanation:

3 + 1 =4 and 2+1=3

4 parts sugar to 3 parts water  is what i got correct on my test hope it helps

GOODLUCKKKKKK

Mr. Fitch needs to get a loan to replace the air-conditioning system in his home. The cost of the replacement, including installation, is $4,348.00. He can apply for a 5- year loan or a 3-year loan. Both loans involve simple interest with an annual interest rate of 6.5%. If Mr. Fitch applies for the 5-year loan, how much more will he pay in interest than with the 3-year loan? F. $704.98 G. $565.24 H. $2,260.96 J. $56,524.00

Answers

Answer: g

Step-by-step explanation:

4348x.065=282.62

282.62x5=1413.1

282.62x3=847.86

1413.1-847.86=565.24

Compared to a 3-year loan he has to pay G. $565.24 more for a 5-year loan.

What is simple interest?

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, Mr. Fitch needs to get a loan to replace the air-conditioning system.

He can apply for a 5- year loan or a 3-year loan. Both loans involve simple interest with an annual interest rate of 6.5%.

Here, p = $4,348.00, r = 6.5%, t₃ = 3 and t₅ = 5.

For, t₃.

SI₃ = (4348×6.5×3)/100.

SI₃ = $847.86.

For, t₅.

SI₅ = (4348×6.5×5)/100.

SI₅ = $1,413.1.

So, the amount of interest he will have to pay more is (SI₅ - SI₃).

=  $(1,413.1 - 847.86).

= $565.24.

learn more about simple interests here :

https://brainly.com/question/11564235

$SPJ2

Which of the following equations have no solution? Check all that apply.

Answers

1) 3) and 5)
Explaination
Open and check whether the term ‘x’ is getting canceled or not
If it is getting cancelled:no solution
If not:has a solution

240/15 help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

240 divided by 15 is 16

3x^2 – 10x = 8
(it’s to the 2nd power btw)

Answers

Answer:

x = 4, (-2/3)

Step-by-step explanation:

3(x^2) – 10x = 8

3(x^2) – 10x - 8 = 0

(3x + 2)(x - 4) = 0

(3x + 2) = 0

3x = -2

x = (-2/3)

(x - 4) = 0

x = 4

Answer:

x = -2/3, 4

Step-by-step explanation:

move all terms to one side

3x^2 - 10x - 8 = 0

split the terms in 3x^2-10x-8 into two terms

3x^2+2x-12x-8=0

factor out common terms in first to and last to

x(3+2)-4(3x+2) =0

factor out common term 3x+2

(3x+2) (x-4)=0

solve for x

x=-2/3,4

What is the absolute value of 28?​

Answers

Answer:

28

Step-by-step explanation: pls mark brainliest

PLS HELP AND GET RIGHT FOR BRAINLY AND 20 PTS

Answers

It’s the bottom right hand corner
7/12 < 10/12
Hope this helps

The length of Carl's hair was 9 3/4 inches. After his hair cut, the length was 6 1/2 inches . How many inches did he cut?

Answers

Answer: 3 1/4 inches

Step-by-step explanation:

9 3/4 - 6 1/2

I turned 6 1/2 into an easier fraction so it can be easier to subtract. Now the expression is:

9 3/4 - 6 2/4

6 2/4 is equivalent to 6 1/2

I then got 3 1/4

When graphed, the three lines y=-x + 2 y=2x-1, and y= x-2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
.
-6
-5
3
1
2 3
4
5 6
7
3
4
-5
-6
OA (2.0), (0, 2), and (-1, -3)
ОВ. (0, 2), (2.0), and (1,-1)
2020 Edmentum. All rights reserved.

Answers

Answer:

the three vertices are (1, 1), (2, 0), (-1, -3).

The vertices of the triangles are the coordinates of the point of

intersection of the graph of the equation of the three lines.

Correct response:

The coordinates of the three vertices of the triangles are;

E. [tex]\underline{(2, 0), \ (1, -1), \ and \ (-1, -3)}[/tex]

How are the coordinates of the vertices obtained?

The equation of the given lines are;

y = -x + 2, y = 2·x - 1, y = x - 2

The point of the intersection of the two lines, gives the vertices, and are

the solution of the two linear equations of the lines.

At the points where the lines intersect, we have;

-x + 2 = 2·x - 1

Which gives;

3·x = 3

x = 1

y = -1 + 2 = -1

A vertex is at the point (1, -1)

The coordinate of the second vertex is given as follows;

2·x - 1 = x - 2

2·x - x = -2 + 1 = -1

x = -1

y = -1 - 2 = -3

The second vertex is; (-1, -3)

The coordinates of the third vertex is given as follows;

-x + 2 = x - 2

2·x = 4

x = 2

y = 2 - 2 = 0

Which gives the point; (2, 0)

The three vertices are; E. (2, 0), (1, -1), and (-1, -3)

Learn more about linear equations here:

https://brainly.com/question/1430935

IS THIS THE RIGHT ANSWER ?!?!!!

Answers

Yes thats it bru just submit

help me pls .. i appreciate it

Answers

what’s the question

A recipe asks that the following three ingridients be mixed together as follows add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soday and every 1/4 of a tea spoon of salt. A. 1 teaspoon of baking soda per 1 cup of flower B. 2 teaspoons of salt per 1 cup of flour C. 1 teaspoon of baking soda per 2 teaspoons of salt D. 1/2 teaspoon of salt per 1 teaspoon of baking soda E. 2 teaspoons of salt per 1 teaspoon of baking soda. Select all that apply.

Answers

Answer:

A and D are the only ones correct

Step-by-step explanation:

I did it

Answer: A D

Step-by-step explanation:

There u go

If y varies directly as x and y = 208 when x = 16, what is the value of y when x= 11? ​

Answers

Y = kx
208 = k16
208/16 = k
13 = k

Y = 13(11)
Y = 143

slope for (-3,-3) and (-5, -2)

Answers

Answer:

-1/2

Step-by-step explanation:

-3--2=-1 -3--5=2

-1/2

.................................................................................

Answers

Answer:

that is not a function

Step-by-step explanation:

Which value is a solution of (7)/(4)x^(2)-2=-0.5x+4? A.x=-2 B.x=-1 C.x=1 D.x=5

Answers

Answer:

The answer is A.

Step-by-step explanation:

Just answered the question

Can someone explain how to do this?

Answers

it has to be in y = mx + b form

then divide everything by what’s in the y

then simplify

if anything use cymath !!

Find $\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1}$

Answers

Answer:

1

Step-by-step explanation:

Given the expression [tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1}[/tex]

According to indices:

[tex]a^{-1} = \frac{1}{a}[/tex]

Applying this to the question:

[tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = \frac{1}\left\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right}[/tex]

Hence:

[tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = \frac{\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]}{\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]} \\\\\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = 1[/tex]

Hence the right answer is 1

Answer:

= 1

Step-by-step explanation:

Lauren solved the equation - 3y - 18x = 12x - 21 for y and got y = 10x -
7 as the answer. Is this the correct answer?
O Yes
O No

Answers

Answer:

No, it's incorrect.

Step-by-step explanation:

The answer should be y = -10x + 7

10^2a=10^a-4
please help me solve this exponential problem

Answers

Answer: -4

Step-by-step explanation:

10^2a = 10^a-4

Ignore the base

2a = a - 4

2a - a = -4

a = -4

A $75 coat is discounted by 75%. What is the discount being taken off the original
price? lol

Answers

Answer:

$18.75 the difference is $56.25

Step-by-step explanation:

the discount is $18.75

Ray AT bisects ZCAR, mZCAT = 5x and mZCAR = 9x + 7. What is mZ TAR?

Answers

what did you just say-

what is the volume the shapes ​

Answers

You can work out the volume of a shape by multiplying height × width × depth. If the shape is made of cubic cm blocks, you can count the cubes to find the shape's volume.

During a recent rainstorm, 888 centimeters of rain fell in Dubaku's hometown, and 2.362.362, point, 36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.1915.1915, point, 19 centimeters of snow fell in Alperen's hometown.

Answers

Answer:

Answer: 5.64 centimeters more rain fell in Dubaku's town than in Elliot's town. Step-by-step explanation: Amount of rainfall in Dubaku's hometown is 8 centimeters, amount of rainfall in Elliot's hometown is 2.36 centimeters and the amount of rainfall in Alperen's hometown is 15.19 centimeters.

Step-by-step explanation:

hardest question

X+X*94%=1164
X=?

Answers

Answer:

x = 600 and 1.94!=0

Step-by-step explanation:

Answer:

X = 600

Step-by-step explanation:

This is the answer because:

1) All you have to do is just isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps! :D

Solve the equation.

-6y=18
so what is y

Answers

Answer: -3

Step-by-step explanation:

6 times 3 is 18, so y is -3

-6y=18
-6y/(-6)=18/(-6)
Y=-3

42:11
What is the slope and the y-intercept of the line on the graph below?
-6-5-43
-2
3
4
-5
O slope = -4, y-intercept = 1
slope = -4, y-intercept
1
slope = -4 y-intercept = 1
Mark this and retum
Next
Submit

Answers

Answer:the answer should be B

Step-by-step explanation:

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