A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 5 and the coin landing on tails?

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Mathematics

Brenda Matthews

6 May, 21:03

A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 5 and the coin landing on tails?

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Gaven Richardson · Answer 1

The order doesn't matter, as the two events are probabilistically independent of one another. There are 13 spades in a standard 52 card deck, so the probability of drawing the number 5 is 13/52 or 1/4. The probability of heads is 1/2. The probability of both occurring is the product of the two probabilities, or 1/4*1/2 = 1/8 or 12.5%.