SOLUTION: If you flip a coin 8 times what is the probability of landing on head 6 times?

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Question 830760: If you flip a coin 8 times what is the probability of landing on head 6 times?
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
If you flip a coin 8 times what is the probability of landing on head 6 times?
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A:
If X ~ Binomial(n, p), then
P(X = x) = %28matrix%282%2C1%2Cn%2Cx%29%29%28p%5Ex%29%28%281-p%29%5E%28n-x%29%29 where x = 0,1,2...,n.
Given: n = 8, p = 1/2 (assuming the coin is fair), and x = 6.
Therefore,
P(X = 6) = %28matrix%282%2C1%2C8%2C6%29%29%281%2F2%29%5E6%281%2F2%29%5E2 = 7%2F64 or highlight%280.109375%29