Homework Sourse7 cards are drawn from a standard deck without replacement W
7 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a club?
7 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a club?
Solution
Let X be a random variable representing no of clubs drawn
Probability of drawing a club = 13/52 , since there 13 clubs in a standard deck and 52 cards
Probability of drawing atleast a club = 1 - probablity of drawing no clubs
= 1 - 39/52 * 38/51 * 37/50 * 36/49 * 35/48 * 34/47 * 33/46
= 0.8850
