Latest soliton Aptitude Question SOLUTION: Consider two identical pack of cards A and B. When one card from A is taken and shuffled with the card B, the first top card of A is the Queen of hearts. What will be the probabili

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Consider two identical pack of cards A and B. When one card from A is taken and shuffled with the card B, the first top card of A is the Queen of hearts. What will be the probability that the top card of B to be King of hearts?
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Asked In soliton preethy vijayakumar (8 years ago)

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Vimalraj  (6 years ago)

Ans : 2/53+1/53=3/53
The card shifted may be either the King of hearts or any other card
If its the king of hearts then the probability is 2/53
For any other card the probability is 1/53
So probability of either is 3/53

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Keerthana  (6 years ago)

There was 52 cards in both pack A and B. After the shuffle, there are 51 in A and 53 in B. Showing the Top card of A leaves, though, with only 51 possible cards to be taken from A (since we know the Queen hasn't moved).

We have two possible scenarios now. If we did not take the King of Hearts, from A to B, and the other were we did.

Be K the event of taking the King of Hearts from A to B. Let BK be the event of it being the top card of B.

P(BK)=(1/51)(2/53)+(50/51)(1/53)=52/2703 ≈ 0.02

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