SOLUTION: Suppose three coins are tossed find each probability. Please do all 1.)P( exactly 1 tail) 2.)P(exactly 2 heads) 3.)P(3 tails) 4.)P(all the same) 5.)P(1 or more tail

Question 142794: Suppose three coins are tossed find each probability. Please do all
1.)P( exactly 1 tail)
2.)P(exactly 2 heads)
3.)P(3 tails)
4.)P(all the same)
5.)P(1 or more tails)
6.)P(3 heads)

Please help me thanks!!!
P.S Please do all

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose three coins are tossed find each probability. Please do all
1.)P( exactly 1 tail) = 3C1(1/2)^1(1/2)^2 = 3*(1/8) = 3/8
----------------------------
2.)P(exactly 2 heads) = 3C2(1/2)^2(1/2) = 3*(1/8) = 3/8
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Note: exactly 1 tail means the same as exactly 2 heads
----------------------------
3.)P(3 tails) = 3C3(1/2)^3 = 1*(1/8) = 1/8
--------------------------
4.)P(all the same) 2*(1/8) = 1/4
-----------
5.)P(1 or more tails) = 1 - P(no tails) = 1-(1/8) = 7/8
------------------
6.)P(3 heads) = (1/8)
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Cheers,
Stan H.

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