Consider an infinite sequence of trials with probabilities of success perhaps depending on the numbers of the

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Consider an infinite sequence of trials with probabilities of success perhaps depending on the numbers of the trials.

(a) Can the number of successes be finite with probability 0.5 if the trials are independent? Justify the answer.

(b) Give an example of a sequence of dependent trials for which the same probability is 0.5. (Advice: For example, you may assume that the chances for successes in the trials following the first, depend on the result of the first trial.)

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