Ifacardisdrawnatrandomfromapackof52cards,Whatisthechanceofgettingaspadeoranace? (A) 4/13, (B) 5/13 (C) 0.25 (D) 0.20

Ifacardisdrawnatrandomfromapackof52cards,whatisthechanceofgettingaSpadeoranace? (a) 4/13

(b) 5/13 (c) 0.25 (d) 0.20

 

(a) 4/13

In 52 cards there are 13 hearts, 13 diamonds, 13 spades, 13 clubs. So the probability of getting a spade is 13/52.

Each of these kind has 1 ace, so there will be 4 aces in 52 cards. And the probability in getting an ace is 4/52. But since there is an ace of spade included in the 13 spades, we will subtract that one out to avoid double counting, so the result will now be 3/52.

So the solution now becomes:

13/52 + 3/52 = 16/52 = 4/13


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