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Joe is playing a game of chance at the hibiscus festival, costing $1 for each game. In the game two fair dice are rolled and the sum of the numbers that turned up is found. If the sum is seven, then Joe wins $5. Otherwise loses his money. Joe play the game 15 times. Find his expected profit or lose.

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  1. We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.

    However, I will start you out.

    Out of 36 possibilities, 7 can be obtained with:
    6,1
    1,6
    3,4
    4,3
    5,2
    2,5

    Thus his chances of winning on any one toss = 6/36 = 1/6

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