Explanation Given: Drawing a heart or an ace from a standard deck of 52 cards. Probability of an event E is the number of ways the event E can occur divided by the total number of possible outcomes. Mathematically it can be written as P ( E ) = n ( E ) n ( S ) where n ( E ) denotes the number of ways in which the event E can occur and n ( S ) denotes the total number of outcomes or the number of sample space. Formula used: Probability of an event E is given by P ( A ∪ B ) = P ( A ) + P ( B ) − P ( A ∩ B ) . Calculation: Description P ( E ) = n ( E ) n ( S ) Step 1: Sample space S is the total outcomes of drawing a deck of cards. It is too long to write all the outcomes of drawing a deck of cards. So we can use the formula of n ( S ) = 52 . n ( S ) = 52 Step 2: The event A is obtaining a heart from a standard deck of cards. By describing it we can find n ( A ) a n d P ( A ) n ( A ) = 13 P ( A ) = n ( A ) n ( S ) = 13 52 Step 3: The event B is obtaining an ace from a standard deck of cards...

College Algebra with Modeling & Visualization (5th Edition)

5th Edition

ISBN: 9780321826138

Author: Gary K. Rockswold

Publisher: PEARSON

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Chapter 8, Problem 63CRE

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TheProbability of drawing a heart or an ace from a standard deck of 52 cards.

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Chapter 8, Problem 62CRE

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Chapter 8 Solutions

College Algebra with Modeling & Visualization (5th Edition)

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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