probability that a student does not belong to any club.

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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1. Students can belong to one or more of three clubs, call them A,B, and C. The
probability that a student belongs to either club A or B, but not C, is P((AUB)NC^)
40%. Moreover, the probability that a student belongs to either club A or B, and club
C is 15%. Lastly, the probability that a student belongs only to club C, and neither A
or B, is 20%. Find the probability that a student does not belong to any club.
Transcribed Image Text:1. Students can belong to one or more of three clubs, call them A,B, and C. The probability that a student belongs to either club A or B, but not C, is P((AUB)NC^) 40%. Moreover, the probability that a student belongs to either club A or B, and club C is 15%. Lastly, the probability that a student belongs only to club C, and neither A or B, is 20%. Find the probability that a student does not belong to any club.
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