4 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a spade?

Question

4 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a spade?

Answer 1

We can use complement , what is the probability if no cards drawn is spade?

39C4/52C4

Atleast 1 card is spade so probability is

1 - (39C4/52C4)

1–0.303

= 0.697