Question

A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5?

Upper level probability
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asked 2021-01-27
A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5?

Answers (1)

2021-01-28

There are 4 fives in a pack, so the probability is 4/52 or 1/13 of a randomly selected card.
The probability of selecting a face card is 3/13 (3 face cards in every suit). A face card cannot also be a 5 so the probability of selecting a five or a face card is \(3/13+1/13=4/13\)

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