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Ymorist [56]
3 years ago
6

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
Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0

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.

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Please help! Solve for x: -4x - 3/5 = 1/3 4x + 3/5 = 1/3 Please include a step-by-step explanation. Thank you!
vodka [1.7K]

Answer:

-4(-7/30)-3/5=1/3  

4(-1/15)+3/5=1/3

Step-by-step explanation:

1. -4x-3/5=1/3

-4x=1/3+3/5

-4x=14/15 <- divide both sides

x= -7/30

2. 4x+3/5=1/3

4x=1/3-3/5

4x= -4/15 <-divide both sides

x= -1/15

5 0
3 years ago
Read 2 more answers
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h
oee [108]
So 72 pencils and 24 calculators
so greates number of identical calculators

this means
what is the biggest number that we can divide 72 and 24 by and get a whole number
this is called the GCM or greatest common multipule

to find the GCM, you factor 72 and group the like ones
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
so the common group is 2 times 2 times 2 times 3 or 24
so the greates number of packs is 24

so pencils
72 divided by 24=72/24=3
3 pencils per pack

24 divided by 24=24/24=1
1 calulator per pack


answer is 3 pencils and 1 calculator per pack
6 0
3 years ago
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Eight ones six tens what is the answer
Zielflug [23.3K]
Eight ones = 8
Six tens= 60
60 + 8 = 68
6 0
3 years ago
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Find the square root of 13²​
nadezda [96]
The answer to that would be “169”
3 0
3 years ago
The probability that a child will learn to swim before age 6 is 0.312. If you take a group of 12 children, what is the probabili
vagabundo [1.1K]

Answer:

The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072

Step-by-step explanation:

In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:

p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124

We now need to calculate the probability that one child learns to swim before 6 years of age.

p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)

p(1) = 3.744*0.01634

p(1) = 0.0612

The probability of 1 or less children from that group to learn how to swim before 6 years of age is:

p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244

6 0
3 years ago
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