If three cards are drawn at random from a standard deck of 52 playing cards, what is the probability that at least one of the cards is a face card: that is, one of the cards is a kind, queen, or jack?

1 answer

P(1) = 12/52

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

P(2) = 12/52 * 11/51

p(3) = 12/52 * 11/51 * 10/50

P(4) = 12/52 * 11/51 * 10/50 * 9/49

The question is asking for the probability of 1, 2, 3 or 4 face cards.

Either-or probabilities are found by adding the individual probabilities.