SOLUTION: A coin is tossed three times find the probability that .exactly one tail turns up .at least two tail turn up .no tail turn up.

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Question 601688: A coin is tossed three times find the probability that .exactly one tail turns up .at least two tail turn up .no tail turn up.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A coin is tossed three times
Binomial Problems with n = 3 and p(tail) = 1/2
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find the probability that
.exactly one tail turns up
P(x = 1) = 3C1(1/2)(1/2)^2 = 3/8
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.at least two tail turn up
P(x = 2 or x = 3) = 3C2(1/2)^2(1/2) + 3C3(1/2)^3*(1/2)^0
= 3/8 + 1/8 = 4/8 = 1/2
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.no tail turn up.
P(x = 0) = 3C0(1/2)^0*(1/2)^3 = 1/8
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Cheers,
Stan H.