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# Every time at bat, the probability that Isuke will get a hit is 25%. what is the probibility that he will not get a hit in his next three

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Every time at bat, the probability that Isuke will get a hit is 25%. what is the probibility that he will not get a hit in his next three consecutive times at bat?

Oct 27, 2018

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$$P[\text{not get a hit in next 3 at bats}] = \\ \\ \left(P[\text{not get a hit in an at bat}]\right)^3 =\\ \\ \large \left(1-\frac 1 4\right)^3 =\left(\frac 3 4\right)^3 = \frac{27}{64}$$

This does assume that consecutive at bats are independent.

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Oct 27, 2018
edited by Rom  Oct 27, 2018