SOLUTION: A 2 sided coin is unfairly weighted so when its tossed, the probability that heads will result is twice the probability that tails will result. If the coin is tossed 3x, what is th

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Question 472848: A 2 sided coin is unfairly weighted so when its tossed, the probability that heads will result is twice the probability that tails will result. If the coin is tossed 3x, what is the probability that tails will result exactly 2 times?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A 2 sided coin is unfairly weighted so when its tossed, the probability that heads will result is twice the probability that tails will result. If the coin is tossed 3x, what is the probability that tails will result exactly 2 times?
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P(head) = 2/3
P(tail) = 1/3
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P(2 head in three tosses) = 3C2(2/3)^2(1/3) = 3*(4/9)(1/3) = 12/27
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Cheers,
Stan H.
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