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A person draws a card from a pack of pla...

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

A

`(9)/(64)`

B

`(1)/(64)`

C

`(1)/(16)`

D

`(9)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
D
`"Total number of cards"=52`
`"Probability of getting spade"=(13)/(52)=(1)/(4)`
`"Probability of not getting spade "=1-(1)/(4)=(3)/(4)" "therefore" Required probability "=(3)/(4).(3)/(4)=(9)/(16)`
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