SOLUTION: True/False: You are more likely to get a pattern of HTHHHTHTTH than HHHHHHHHTT when you flip a coin 10 times.
Algebra.Com
Question 1038570: True/False: You are more likely to get a pattern of HTHHHTHTTH than HHHHHHHHTT when you flip a coin 10 times.
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 !})
So compare:
\ =\ {{10}\choose{6}}\left(0.5\right)^6\left(0.5\right)^{4})
With
\ =\ {{10}\choose{8}}\left(0.5\right)^8\left(0.5\right)^{2})
John
My calculator said it, I believe it, that settles it
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