Question

Joy Mone ol a visitor to your web page. 4.58 Texas hold 'em. The game of Texas hold 'em sta with each player receiving two cards. Here is the probab ity distribution for the number of aces in two-card hands Number of aces Probability 0 0.8507 0.1448 0.0045 (a) Verify that this assignment of probabilities satisfies the requirement that the sum of the probabilities for a discrete distribution must be l. (b) Make a probability histogram for this distribution (@) What is the probability that a hand contains at least one ace? Show two different ways to calculate this probability

Answer 1

Given that - Let X: Number of aces) XI P(x) o - | 0.8507 0.1448 2 T 0.0045 ) @ E P(X) = 0.8507 +0.1448 +0.0045 = 1 3) - Y3) ((x3) X3 P(x)>0 This is valed Probability discrete distribution, (6) Histogram prx) XT (scrie - 222.0XT) 0.75 + 1 Histogram 80 0.507 0.257

© PLX>] = P(1) +P(2) = 0.1448 + 0.0045 = [0.1493 ~ {oneway) P[X>1] = |- P(x=0] (another way) - 1-0.8507 = 10.1493) c