Two people are separately attempting to succeed at a particular task, and each will continue attempting until

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Two people are separately attempting to succeed at a particular task, and each will continue attempting until success is achieved. The probability of success of each attempt for person A is p, and that for person B is q, all attempts being independent. What is the probability that person B will achieve success with no more attempts than person A does?

-1 ' = i=0  1-x" 1-x

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