Explanation Given: A card is drawn from a 52 -card deck, a die is rolled, and a coin is tossed. Approach: The probability of an event E is given by, P ( E ) = n ( E ) n ( S ) The probability of intersection of three independent events E , F , and G is given by, P ( E ∩ F ∩ G ) = P ( E ) × P ( F ) × P ( G ) Calculation: The probability of getting an ace of spades is, P ( E ) = C ( 1 , 1 ) C ( 52 , 1 ) To determine (b) To find: The probability of getting a spade, a six in a die, and a heads in a coin. To determine (c) To find: The probability of getting a face card, a number greater than 3 , and a heads in a coin.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 14.CR, Problem 31E

To determine

(a)

To find:

The probability of getting an ace of spades, a six in a die, and a heads in a coin.

To determine

(b)

To find:

The probability of getting a spade, a six in a die, and a heads in a coin.

To determine

(c)

To find:

The probability of getting a face card, a number greater than 3, and a heads in a coin.

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Chapter 14.CR, Problem 30E

Chapter 14.CR, Problem 32E

Chapter 14 Solutions

Algebra and Trigonometry (MindTap Course List)

Ch. 14.1 - CONCEPTS The Fundamental Counting Principle says...Ch. 14.1 - CONCEPTS The number of ways of arranging r objects...Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E Ch. 14.1 - Prob. 10E

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(a) To find: The probability of getting an ace of spades, a six in a die, and a heads in a coin.

Solution Summary: The author explains how the probability of getting an ace of spades, a six in the die, and heads is 1624.

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(a) To find: The probability of getting an ace of spades, a six in a die, and a heads in a coin.

(b) To find: The probability of getting a spade, a six in a die, and a heads in a coin.

(c) To find: The probability of getting a face card, a number greater than 3, and a heads in a coin.

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Chapter 14 Solutions

(a)

To find:

The probability of getting an ace of spades, a six in a die, and a heads in a coin.

(b)

To find:

The probability of getting a spade, a six in a die, and a heads in a coin.

(c)

To find:

The probability of getting a face card, a number greater than 3, and a heads in a coin.