Consider the game of Let’s Make a Deal in which there are three doors (numbered 1, 2, 3), one of which has a car behind it and two of which are empty (have “prizes”). You initially select Door 1, then, before it is opened, Monty Hall tells you that Door 3 is empty (has a prize). You are then given the option to switch your selection from Door 1 to the unopened Door 2.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 4T: Over the past year, John has purchased 30 books. In how many ways can he pick four of these books...
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Consider the game of Let’s Make a Deal in which there are three doors (numbered 1, 2, 3), one of which has a car behind it and two of which are empty (have “prizes”). You initially select Door 1, then, before it is opened, Monty Hall tells you that Door 3 is empty (has a prize). You are then given the option to switch your selection from Door 1 to the unopened Door 2.

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