Euchre is a card game that uses a 24card deck which can be f

Euchre is a card game that uses a 24-card deck (which can be formed by removing all of the 2’s, 3’s, 4’s, 5’s, 6’s, 7’s, and 8’s from a standard 52-card deck) in which the players are each dealt 5-card hands from the deck of 24. Suppose that you are playing Euchre and are dealt a 5-card hand.

A. What is the probability that you are dealt no more than 1 queen?

B. What is the probability that you are dealt no aces and exactly 2 hearts?

Solution

A) There are total 4 queens and 20 other cards.

Hence , Probability = 4/24 * (20/23 * 19/22 * 18/21 * 17/20) = 0.091 Answer

B) Probability = (5/24 * 4/23) * (15/22 * 14/21 * 13/20) = 0.011 Answer