**Exercises 11–14: Calculating the Probability \( P(E) \)****11.** There are 32 students in categories A and B combined. Some students are in both, 24 are in A, and 24 are in B. \( E \) is the event that a randomly selected student (among the 32) is in both categories.**12.** You roll two dice, one red and one green. Losing combinations are doubles (both dice showing the same number) and outcomes in which the green die shows an odd number and the red die shows an even number. The other combinations are winning ones. \( E \) is the event that you roll a winning combination.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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There are 32 students in categories A and B combined. Some students are in both, 24 are in A, and 24 are in B. E is the event that a randomly selected student (among the 32) is in both categories.