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2. The next interviewer you meet with is excited to show you a dice game he has developed that he is hoping to sell to

2. The next interviewer you meet with is excited to show you a dice game he has developed that he is hoping to sell to a local casino. The game involves using two 10 sided dice with faces numbered 1 through 10.

3. Using the same scenario as in number 2, determine the probability of rolling a sum of 11 on the two dice.

4. Using the same scenario as in number 2, determine the probability of rolling at least one 7 on the two dice.

5. Using the same scenario as in number 2, determine the probability of rolling doubles twice in a row.

6. Using the same scenario as in number 2, your interviewer tells you that the game costs $1 to play and it has an expected value of 47 cents for every dollar spent. Use the following payouts to determine the expected value of the game. Do you agree with your co-worker's assertion?

Roll Sum of 19 Sum of 17 Sum of 15 Sum of 13 Doubles Other
Winnings $5 $3 $2 $1 $.5 $0

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