Re: odds of getting a pocket pair 3x in a row
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Now, using your formula, the chances of Ichiro having a 55 game hitting streak in a 162 game season (not missing any games) would then be 0.001106131, or, a little less than 1 in 900. Is that correct?
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No, I get 0.005815 or about 1 in 172.
P(1) to P(54) = 0
P(55) = (0.866636)^55
P(56) = P(55) + (1 - 0.866636)*(0.866636)^55
P(n) = P(n-1) + [1 - P(n-56)]*(1 - 0.866636)*(0.866636)^55, for n > 56
...
P(162) = 0.5815%
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