Latest self Aptitude Question SOLUTION: out of a pack of 52 cards one is lost,from the remainder of the pack,two cards are drawn and found to be spades.find the chance that the missing card is a spade.

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(#M40024571) SELF question probability Keep an EYE

out of a pack of 52 cards one is lost,from the remainder of the pack,two cards are drawn and found to be spades.find the chance that the missing card is a spade.

richa ahuja (10 years ago)

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madhu  (10 years ago)

the probability that the missing card not a spade is 13c2/51c2..so,the required probability is 1-13c2/51c2

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vasudhasrichaitanya  (10 years ago)

let A b the event that missing card is spade
B b the event that drawing 2 spades
P(A/B)=probability of missing card is spade given that 2 spades are drawn=?
P(B/A)=probability of drawing 2 spades given that missing card is spade=12c2/51c2
P(A)=Probability of missing card is spade=13/52
p(B)=probability of drawing 2 spades =13C2/52C2
we know that P(A/B)=P(B/A)*P(A)/P(B)
Substituting above values we get P(A/B)=11/50

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Gaurav Kumar  (10 years ago)

if the missing card is spade then probability will be
12c2/51c2

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rahul tandon  (9 years ago)

the problem can be treated as if we are selecting the third card out of the 50 remaining cards.

11 of these are spade .
so,11/50 is ans

thanks :)

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