passpadi

2010

Mathematics

JAMB

If three unbiased coins are tossed, find the probability that they are all heads

A.

1/2

B.

1/3

C.

1/9

D.

1/8

Correct Answer: 1/8

Explanation

P(H) = 1/2 and P(T) = 1/2 Using the binomial prob. distribution, (H + T)3 = H3 + 3H2T1 + 3HT2 + T3 Hence the probability that three heads show in a toss of the three coins is H3 = (1/2)3 = 1/8

P(H) = 1/2 and P(T) = 1/2 Using the binomial prob. distribution, (H + T)3 = H3 + 3H2T1 + 3HT2 + T3 Hence the probability that three heads show in a toss of the three coins is H3 = (1/2)3 = 1/8
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