Suppose someone give you 7 to 2 odds that you cannot roll 2 even numbers with the roll of 2 fair dice. this means you win $7 if you succeed and lose $2 if you fail. what is the expected value of this game to you? should you except to win or lose the expected value of the game? what can you expect if you play 100 times?

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Calculating probabilities of a dice game

Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $9.00 if you succeed and you lose $2.00 if you fail. What is the expected value of this game to you? Should you expect to win or loose the expected value in the first game? What can you expect if you play 100 times? Explain (a table will be helpful in finding the required probabilities).

1 2 3 4 5 6

1 1+1=2 1+2=3 1+3=4 1+4=5 1+5=6 1+6=7

2 2+1=3 2+2=4 2+3=5 2+4=6 2+5=7 2+6=8

3 3+1=4 3+2=5 3+3=6 3+4=7 3+5=8 3+6=9

4 4+1=5 4+2=6 4+3=7 4+4=8 4+5=9 4+6=10

5 5+1=6 5+2=7 5+3=8 5+4=9 5+5=10 5+7=11

6 6+1=7 6+2=8 6+3=9 6+4=10 6+5=11 6+6=12

A- What is the expected value of this game to you? $___

Should you expect to win (or lose) the expected value in the first game? Yes or No

B- What can you expect if you play 100 times ? $

C- Explain this result- averaged over 100 games, you should expect to (win or lose) $___.

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Solution Preview

Of the above 36 possible outcomes, 9 involve two even numbers. Thus the probability of rolling two ...

Solution Summary

The solution computes the odds of winning a game involving dice as well as our expected winnings per play

the answer is c just got it on ed

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.