SOLUTION: A coin is weighted so that there is a 62% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability of getting two "heads" and two "

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Question 1153419: A coin is weighted so that there is a 62% chance that it will come up "heads" when flipped.
The coin is flipped four times. Find the probability of getting two "heads" and two "tails".

Answer by ikleyn(52817) 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(2 heads and 2 tails in 4 flipping) = C%5B4%5D%5E2+%2A+0.62%5E2+%2A+%281-0.62%29%5E%284-2%29, where C%5B2%5D%5E2 = 4%21+%2F+%282%21+%2A+%284-2%29%21%29.


             P(2 heads and 2 tails in 4 flipping) = %28%284%2A3%29%2F2%29+%2A+%280.62%29%5E2+%2A+0.38%5E2 = 0.333044 = 33.044%.    ANSWER