. Let A1 denote the event that no red balls are selected, let A2 denote the event that no white balls are selected, and let Az denote the event that no blue balls are selected. We must determine the value of Pr(A1 U A2 U A3). We shall apply Theorem 1.10.1. The event A1 will occur if and only if all ten selected balls are white or blue. Since there is probability 0.8 that any given selected ball will be white or blue, we have Pr(A1) = (0.8)10. Similarly, Pr(A2) = (0.7)10 and Pr(A3) = (0.5)10. The event A1NA2 will occur if and only if all ten selected balls are blue. Therefore Pr(A1 N A2) = (0.5)10. Similarly, Pr(A2N A3) = (0.2)10 and Pr(A1n A3) = (0.3)10. Finally, the event A0AN A3 cannot possibly occur, so Pr(A1 N A2 N A3) = 0. So, the desired probability is %3D

. Let A1 denote the event that no red balls are selected, let A2 denote the event that no white balls are selected, and let Az denote the event that no blue balls are selected. We must determine the value of Pr(A1 U A2 U A3). We shall apply Theorem 1.10.1. The event A1 will occur if and only if all ten selected balls are white or blue. Since there is probability 0.8 that any given selected ball will be white or blue, we have Pr(A1) = (0.8)10. Similarly, Pr(A2) = (0.7)10 and Pr(A3) = (0.5)10. The event A1NA2 will occur if and only if all ten selected balls are blue. Therefore Pr(A1 N A2) = (0.5)10. Similarly, Pr(A2N A3) = (0.2)10 and Pr(A1n A3) = (0.3)10. Finally, the event A0AN A3 cannot possibly occur, so Pr(A1 N A2 N A3) = 0. So, the desired probability is %3D

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

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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