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Two cards are drawn without replacement from a standard deck of cards. What is the probability that the second one is a black card given that the first one is a spade.

User DDave
by
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1 Answer

5 votes

Answer:

The probability is 169/2652

Explanation:

The number of cards in a deck of cards is 52

In each deck of cards, there are 13 black cards and 13 spade cards

The probability of selecting a spade card will be;

13/52 = 1/4

Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51

So the probability of the second card being a black card if the first is spade will be ;

13/52 * 13/51

= 169/2,652

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