Answered: Benny is a messy student who keeps all…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 4CT: Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books...

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Benny is a messy student who keeps all his colored socks in a box. The box contains a total of 4 blue and 2 yellow socks. On the first day, while running late for class, he randomly selects (without replacement) two socks out of the box to wear. Assume the socks are indistinguishable from one another apart from color.

The next day, Benny selects his socks again, but this time you are told that the first sock he has picked from the box is blue. What can you say about the probability he will end up wearing a matching pair of socks to class, in comparison to the first day?

The probability of him wearing matching socks is higher than that of the first day
The probability of him wearing matching socks is unchanged
The probability of him wearing matching socks is lower than that of the first day

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