What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads?
shouldn’t the answer be 1/16?
my approach
probability that we get 4 head after 4 toss=(1/2)^4
probability that outcome of first toss is head=½
P(A/B)=P(A ∩ B)/P(B)=$\frac{(1/2)^4*1/2}{1/2}$
answer is given ¼?
where am I going wrong?