A candy vending machine is out of order. The probability that you get a candy bar...

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A candy vending machine is out of order. The probability that you get a candy bar (with or without return of your money) is 1/2, the probability that you get your money back (with or without candy) is 1/3, and the probability that you get both the candy and your money back is 1/12. What is the probability that you get nothing at all? (b) Suppose you try again to get a candy bar as in part (a). Set up the 16-point sample space corresponding to the possible results of your two attempts to buy a candy bar, and find the probability that you get two candy bars (and no money back); that you get no candy and lose your money both times; that you just get your money back both times. A candy vending machine is out of order. The probability that you get a candy bar (with or without return of your money) is 1/2, the probability that you get your money back (with or without candy) is 1/3, and the probability that you get both the candy and your money back is 1/12. What is the probability that you get nothing at all? (b) Suppose you try again to get a candy bar as in part (a). Set up the 16-point sample space corresponding to the possible results of your two attempts to buy a candy bar, and find the probability that you get two candy bars (and no money back); that you get no candy and lose your money both times; that you just get your money back both times.

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