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