Question

You and a friend go to a Casino where there is a new card game. The game rules are as follows: You may choose to draw 2 or 3 cards.

You may not flip over any card but the first one before you decide how many to draw. You will win if you draw only 2 cards and get a pair of 2s, 3s, 4s, 5s, 6s, 7s, 8s, or 9s. You will win if you draw a run of 3 cards of any suit from 10 through A. (10JQ etc.)

a. What is the probability you will win if you draw 2 cards?

b. What is the probability you will win if you draw 3 cards?

c. What is the probability you will win overall?

Answer 1