A person draws a card from a well shuffled pack of 52 playing cards. Replaces it and shuffles the pack. He continues doing so until he draws as pade. The chance that he fails first two times is

Options

A. `( 9)/(64)`
B. `(1)/( 64)`
C. `(1)/( 16)`
D. `(9)/( 16)`

Explanation

Total number of cards = 52
Probability of getting spade `= ( 13)/(52) = (1)/( 4)`
Probability of not getting spade `=1 -(1)/( 4) = ( 3)/(4) :. ` Required probability `= (3)/( 4) .(3)/( 4) = ( 9)/(16)`