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MATHEMATICS

JAMB 2010 - Question 50

Mathematics 2010 JAMB Past Questions - Question 50: If three unbiased coins are tossed ,find the probability that they are all heads .

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

A: 1/8

B: 1/3

C: 1/6

D: 1/9

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Correct Answer

Explanation

P(H) = 1/2 and P (T) = 1/2using the binomial prob. distribution,(H +T) sup3 = Hsup3 + 3Hsup2Tsupi + 3HTsup2 +Tsup3Hence the probality that three heads show in a toss of the three coins is Hsup3 = (1/2) sup3 = 1/8 If three unbiased coins are tossed ,find the probability that they are all heads .