Question: 4. The probability is p that Marty hits targetM when he fires at it. The probability is q that Alvie hits target A when he

4. The probability is p that Marty hits targetM when he fires at it. The probability is q that Alvie hits target A when he fires at it. Marty and Alvie fire one shot each at their targets.

If both of them hit their targets, they stop; otherwise, they will continue.

(a) What is the probability that they stop after each has fired r times?

(b) What is the expected value of the number of the times that each of them has fired before stopping?

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