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A person draws a card from a pack of 52 playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail in the first two draw is

 
9 64
1 64
1 16
9 16

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Probability of success is S = 1/4 probability of failure is Q= 3/4 from binomial theorem with n=2 r=0 we have ncr(P)^r(Q)^(n-r)= 2c0(1/4)^0(3/4)^2 = 9/16 ans