SOLUTION: A fair coin is flipped 9 times. What is the probability of getting exactly 6 heads? Please show work.
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Question 1027436: A fair coin is flipped 9 times. What is the probability of getting exactly 6 heads? Please show work.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ {{n}\choose{k}}\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k})
Where 
is the number of combinations of things taken at a time and is calculated by !})
Since the probability of a head flipping a fair coin once is 
, you want:
\ =\ {{9}\choose{6}}\left(0.5\right)^6\left(0.5\right)^{3})
You can do your own arithmetic or calculator work.
John
My calculator said it, I believe it, that settles it
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