The deck for a card game contains 30 cards. 10 are red, 10 yellow, 5 blue, and 1 green, and 4 are wild cards. Each player is randomly dealt a five-card hand. a) What is the probability that a hand will contain exactly two wild cards? b) What is the probability that a hand will contain two wild cards, two red cards, and one blue cards?

a) 0.1095     b) 0.0095

Step-by-step explanation:

Given : The deck for a card game contains 30 cards.

10 are red, 10 yellow, 5 blue, and 1 green, and 4 are wild cards.

Each player is randomly dealt a five-card hand.

Number of ways to choose 5 cards out of 30 =

a)  Cards other than wild card = 30-4=26

Number of ways to choose exactly two wild cards =

Probability that a hand will contain exactly two wild cards =

b) Number of ways to choose two wild cards, two red cards, and one blue cards =

Probability that a hand will contain two wild cards, two red cards, and one blue cards =

congruent segments

step-by-step explanation: