Question 4.98

4.98 Texas hold 'em.

The game of Texas hold 'em starts with each player receiving two cards. Here is the probability distribution for the number of aces in two-card hands:

Number of aces 0 1 2
Probability 0.8507 0.1448 0.0045
  1. Verify that this assignment of probabilities satisfies the requirement that the sum of the probabilities for a discrete distribution must be 1.
  2. Make a probability histogram for this distribution.
  3. What is the probability that a hand contains at least one ace? Show two different ways to calculate this probability.