SOLUTION: A coin is weighted so that there is a 59% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability of getting exactly three heads.

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Question 1153418: A coin is weighted so that there is a 59% chance that it will come up "heads" when flipped.
The coin is flipped four times. Find the probability of getting exactly three heads.
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Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Use the binomial probability distribution to solve this problem.



Probability  P(exactly 3 heads in 4 flipping) = C%5B4%5D%5E3+%2A+0.59%5E2+%2A+%281-0.59%29%5E%284-3%29, where C%5B4%5D%5E3 = 4%21+%2F+%283%21+%2A+%284-3%29%21%29 = 4.


             P(exactly 3 heads in 4 flipping) = 4+%2A+%280.59%29%5E3+%2A+0.41%5E1 = 0.3368 = 33.68%.    ANSWER