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Question

Two cards are drawn from a well-shuffled pack of 52 cards without replacement. Then the probability that one is a red queen and other is a king of black color is p then the value of 663p is

A
2
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B
2.0
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C
02
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D
2.00
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Solution

Since the number of red queen cards =2
and number of black king cards =2

Probability that first card is red queen and other is black king
=2C152C1×2C151C1=1663

and probability that first card is black king and other is red queen
=2C152C1×2C151C1=1663

Now, required probability
p=1663+1663=2663
Hence, the value of 663p is 2.

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