Suppose that you roll a pair of honest dice. If you roll a total of 6, you win $18; if you roll a total of 11, you win $72; if you roll any other total, you lose $9. Let X denote the payoff in a single play of this game. Find the expected value of a play of this game. Round your answer to the nearest penny.A.) - $0.50B.) − $1.00C.) $0D.) $0.75E.) − $0.75

Answers

Answer 1

Answer:

You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.

You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.

Any of the other remaining 29 outcomes occurs with probability 29/36.

The expected value of your winnings is

$18*5/36 + $72*1/18 - $9*29/36 = -$0.75

so the answer is E.

Related Questions

How do you solve 5/x=x-4
5x 2y = 20, when x = 0.3
Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?a.r + 1.50 = 1.5r b. r + (5 – r) = 5 c. 1.5r + 2.5(5 – r) = 10.50 d. 1.5r + 2.5(5 – r) = 5
Simplify square root of 5 multiplied by the cube root of 5.5 to the power of 5 over 6 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 7 over 6
Calvin and Melvin are two of Santa's elves. The number of toys they build is given by 11c + 9m where c is the number of candy canes Calvin eats for breakfast and m is the number of candy canes Melvin eats for breakfast.How many toys do they build when Calvin eats 5 candy canes and Melvin eats 3 candy canes for breakfast? :)

Solve each problem.
1.) 15% means ___?__ out of every 100.

Answers

15% means 15 out of every 100.

15% can also be written as 15/100 and 0.15, just as a little extra information.

Factor the trinomial in to 2 sets of parentheses
12a squared minus 13a minus 35

Answers

it can't be factored because there are no 2 numbers that when you multiply you get 35 and when you add you get 13.

Estimate 5,738,055×32

Answers

5738055(32)= 183,617,760
When it said to estimate it basically means to solve.

Plz help !!!!!!!!!! If correct I will give brainiest

Answers

Answer:

Step-by-step explanation:

the y intersept is 2

so it should be 1 x 2

Convert 37/6 to a mixed number.
a. 5 5/6
b. 6 5/6
c. 6 1/6
d. 6 2/3

Answers

The best way to explain it is that 37 ÷ 6 is 6 remainder 1 so the answer is C) 6 1/6

there are 720 children in our school. 5/8 of them have dark hair. How many children have blonde or red hair?

Answers

Assuming that the red and blonde hair are considered the 3/8ths of the school with light hair, 270 children in the school have red or blonde hair.

Other Questions

What is the second step of a tax/tip/markup problem?Question 3 options:A: Adding the Original $ and the Tax/Tip/Markup $B: Subtracting the Original $ and the Tax/Tip/Markup $C: Adding the Original $ and the PercentD: Subtracting the Original $ and the Percent

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?A. 0.4051 B. 0.5010 C. 0.4653 D. 0.6632

Find the area of parallelogram ABCD given m2A=300 and the following measur 300 AX= 3 ft.; AB= 4V5 ft. A=

Boris Heban is single and pays into an HMO. The total cost is $8,190 annually, and the employer pays 90 percent of the total cost. He also pays 50 percent of the optional annual dental premium of $662 and 50 percent of the optional vision premium of $188. How much is deducted each week from his paycheck?