Independent Events and Multiplication Principle binomial example; repeated independent trials Consider a probability experiment in which there are five repeated trials. For each of these, the probability of success (H) is 0.7 and the probability of failure (T) is 0.3. Each of the trials are independent. a) Find the probability that all 5 are successes (H H H H H). b) Find the probability that all 5 are failures (TTTTT). C) Find the probability of at least one success.

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