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Consider n independent trials of an experiment in which each trial has two possible outcomes success or failure The probability of a success on each

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Consider n independent trials of an experiment in which each trial has two possible outcomes success or failure The probability of a success on each trial is p and the probability of a failure is q 1 p In this context the term Ckpkq k in the expansion of p q gives the probability of k successes in the n trials of the experiment The probability of a baseball player getting a hit during any given time at bat is 1 4 To find the probability that the player gets two hits during the next 11 times at bat evaluate the term shown below in the expansion of 1 4 3 4 11 Round your answer to four decimal places 9 11 C 1 4 3 4

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