(a) Explanation Given: 3 cards are drawn from a standard deck of 52 cards. Explanation: Consider drawing 3 cards from a standard deck of 52 cards. Assume that x represents the random variable “number of aces drawn.” As 3 cards are drawn, the possible values of x are 0, 1, 2, and 3. There are 4 aces in a standard deck of 52 cards. So, the probability that x = 0 aces are drawn when 3 cards are drawn from a standard deck of 52 cards is P ( x = 0 ) = C ( 4 , 0 ) × C ( 48 , 3 ) C ( 52 , 3 ) = 1 × 17 , 296 22 , 100 = 0.7826 The probability that x = 1 ace is drawn when 3 cards are drawn from a standard deck of 52 cards is P ( x = 1 ) = C ( 4 , 1 ) × C ( 48 , 2 ) C ( 52 , 3 ) = 4 × 1 , 128 22 , 100 = 0.2042 The probability that x = 2 aces are drawn when 3 cards are drawn from a standard deck of 52 cards is P ( x = 2 ) = C ( 4 , 2 ) × C ( 48 , 1 ) C ( 52 , 3 ) = 6 × 48 22 , 100 = 0 (b) To determine The expected number of clubs when 3 cards are drawn from a standard deck of 52 cards.

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8, Problem 47RE

(a)

To determine

The expected number of aces when 3 cards are drawn from a standard deck of 52 cards.

(b)

To determine

The expected number of clubs when 3 cards are drawn from a standard deck of 52 cards.

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Chapter 8, Problem 46RE

Chapter 8, Problem 48RE

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The expected number of aces when 3 cards are drawn from a standard deck of 52 cards.

Solution Summary: The author explains how to determine the expected number of aces when 3 cards are drawn from the standard deck of 52 cards.

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The expected number of aces when 3 cards are drawn from a standard deck of 52 cards.

The expected number of clubs when 3 cards are drawn from a standard deck of 52 cards.

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