Bat Boston Red
August 17th, 2009 | 
Author: Bat Boston Red Currently For Sale On eBay
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Bat Boston Red
Probability question 10pts1stans!?
1.If a couple has six children, what is the probability that five of the children are boys?
2.Ramirez is batting .370 for the Boston Red Sox. What is the probability that he will get only one hit in his next five bats?
1) The probability of {boy,boy,boy,boy,boy,girl} is (0.5)^6 = 0.015625
However, as the order isn't specific there are 6 different arrangements that have 5 boys, you multiply that figure by 5, so:
P(exactly 5 boys) = 5(0.5)^6 = 0.078125 (or 7.8125%)
Actually, that question is a bit ambiguous, because it doesn't say "exactly" five children are boys, so you could add the possibility that all 6 are boys:
P(at least 5 boys) = 0.078125 + (0.5)^6 = 0.09375 (or 9.375%)
2) Again, you look at the probability of {hit,miss,miss,miss,miss}, then multiplt it by 5 as there are 5 possible arragnements.
P(1 hit) = 5(0.37)(0.63)^4 = 0.291... (or 2.91...%)
Life to the Max Show #61 - "Max's Sweet Spot"
Bat Boston Red Currently For Sale On eBay.
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