Latest CADENCE Aptitude Question SOLUTION: Q. If two cards are taken one after another without replacing from a pack of 52 cards what is the probability for the two cards be queen.

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Q. If two cards are taken one after another without replacing from a pack of 52 cards what is the probability for the two cards be queen.

Asked In CADENCE (12 years ago)

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Vignesh  (12 years ago)

1/221 is the probability for two cards be queen.

From 52 cards, we have to take 2 cards,
n(s)=52C2
= 52*51/2*1
= 1326

If both are queen from 4 queens is,
n(E)= 4C2
= 4*3/2*1
=6

P(E)=n(E)/n(S)
=6/1326
=1/221

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geeta  (11 years ago)

ans is (4/52)*(3/51).... 4/52 because firstly there are 4 queens in 52 cards then in (3/51) because 3 queens in 51 cards(as mentioned no replacement)

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sravani  (9 years ago)

4/52 * 3/51
4 queens total in 52 cards
after first pick up
3 queens and 51 cards will be remaing...so..4*3/52*51.

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abhisikta patro  (10 years ago)

4c2/52c2=1/221

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gaurav tyagi  (9 years ago)

Total Combination of getting a card from 52 cards= 52C1
because there is no replacement.So number of cards after getting first card= 51
Now,Combination of getting an another card= 51C1
total combination of getting 2 cards from 52 cards without replacement= (52C1)*(51C1)
There are total 4 queen in stack.Combination of getting 1 queen is=4C1
because there is no replacement.So number of cards after getting first queen=3
Combination of getting an another queen=3C1
Total Combination of getting 2 queen without replacement=(4C1)*(3C1)
Now,Probability of getting 2 cards which are queen=(4C1)*(3C1)/(52C1)*(51C1) = 1/221

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