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StatisticsProbability and Statistics for Engineering and the SciencesA starting lineup in basketball consists of two guards, two forwards, and a center. a. A certain college team has on its roster three centers, four guards, four forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [ Hint : Consider lineups without X, then lineups with X as guard, then lineups with X as forward.] b. Now suppose the roster has 5 guards, 5 forwards, 3 centers, and 2 “swing players” (X and Y) who can play either guard or forward. If 5 of the 15 players are randomly selected, what is the probability that they constitute a legitimate starting lineup?BuyFind*arrow_forward*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 2.3, Problem 42E

Textbook Problem

A starting lineup in basketball consists of two guards, two forwards, and a center.

**a.**A certain college team has on its roster three centers, four guards, four forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [*Hint*: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.]**b.**Now suppose the roster has 5 guards, 5 forwards, 3 centers, and 2 “swing players” (X and Y) who can play either guard or forward. If 5 of the 15 players are randomly selected, what is the probability that they constitute a legitimate starting lineup?

Probability and Statistics for Engineering and the Sciences

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