R PROGRAM CODE:

1. A and B alternate drawing cards from a shuffled pack, replacing each card

when done. A goes first. Play continues until a heart is drawn. Simulate

this experiment to compute P(A draws first heart) to 2 decimal places

(.005)

2. Two cards are drawn from a shuffled deck.

(a) Give the sample space for the experiment, , and calculate

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the number of elements in .

(b) How many elements of 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)