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> A man flips a fair coin with sides heads and tails five times. Given that the man receives heads on at least two of the coin flips, what is the probability that he receives tails exactly twice after the five flips of the coin?
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A.$\frac{1}{4}$
B.$\frac{5}{16}$
C.$\frac{5}{13}$
D.$\frac{3}{8}$
E.$\frac{8}{13}$

This process is memoryless and we have a $p=\dfrac{1}{2}$

What happened on two flips after five flips is the same as what happens on any two flips.

I think the answer is A but answer key says C.