Simulate the experiment using R programming language

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 tn rule. (b) What is the true probability that A draws the first red card and why? 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 tn rule. (b) What is the true probability that A draws the first red card and why