2. A and B alternate drawing cards from a shuffled pack, replacing each card when done to a random location. A goes first. Play continues until a red card is drawn. (a) Simulate this experiment to compute P(A draws first red card) to 2 decimal places (.005) using the ta rule. (b) What is the true probability that A draws the first red card and why? 3. Two cards are drawn from a shuffled deck. (a) Give the sample space for the experiment, 2, and calculate 2|| the number of elements in 12. (b) How many elements of N have both cards having the same rank? (i.e. both aces or both kings etc.) (c) What is the probability of drawing a pair? (both same rank) 2. A and B alternate drawing cards from a shuffled pack, replacing each card when done to a random location. A goes first. Play continues until a red card is drawn. (a) Simulate this experiment to compute P(A draws first red card) to 2 decimal places (.005) using the ta rule. (b) What is the true probability that A draws the first red card and why? 3. Two cards are drawn from a shuffled deck. (a) Give the sample space for the experiment, 2, and calculate 2|| the number of elements in 12. (b) How many elements of N have both cards having the same rank? (i.e. both aces or both kings etc.) (c) What is the probability of drawing a pair? (both same rank)