Homework Help is Here – Start Your Trial Now!
Math
Statistics
6. Let A1 denote the event that no red balls are selected, let A2 denote the event that no white balls are selected, and let A3 denote the event that no blue balls are selected. The desired probability is Pr(A1 U A2 U A3) and we shall apply Theorem 1.10.1. The event A1 will occur if and only if the ten selected balls are either white or blue. Since there are 60 white and blue balls, out of a total of 90 balls, we have Pr(A1) = Similarly, Pr(A2) and Pr(A3) have the same value. The event A1A2 (30 will occur if and only if all ten selected balls are blue. Therefore, Pr(A1A2) = 10 90 Similarly, Pr(A2 A3) and Pr(A1A3) have the same value. Finally, the event A1A2 A3 will occur if and only if all three colors are missing, which is obviously impossible. Therefore, Pr(A1 A2 A3) = 0.

6. Let A1 denote the event that no red balls are selected, let A2 denote the event that no white balls are selected, and let A3 denote the event that no blue balls are selected. The desired probability is Pr(A1 U A2 U A3) and we shall apply Theorem 1.10.1. The event A1 will occur if and only if the ten selected balls are either white or blue. Since there are 60 white and blue balls, out of a total of 90 balls, we have Pr(A1) = Similarly, Pr(A2) and Pr(A3) have the same value. The event A1A2 (30 will occur if and only if all ten selected balls are blue. Therefore, Pr(A1A2) = 10 90 Similarly, Pr(A2 A3) and Pr(A1A3) have the same value. Finally, the event A1A2 A3 will occur if and only if all three colors are missing, which is obviously impossible. Therefore, Pr(A1 A2 A3) = 0.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 84CR
See similar textbooks
icon
Related questions
Question

ASAP!

Pr(A1 U A2 U A3)?

 

 

6. Let A1 denote the event that no red balls are selected, let A2 denote the event that no white balls are selected, and let A3 denote the event that no blue balls are selected. The desired probability is Pr(Aj U A2 U A3) and we shall apply Theorem 1.10.1. The event A1 will occur if and only if the ten selected balls are either white or blue. Since there are 60 white and blue balls, out of a total of 90 balls, 90 we have Pr(A1) = Similarly, Pr(A2) and Pr(A3) have the same value. The event A1A2 30 will occur if and only if all ten selected balls are blue. Therefore, Pr(A1A2) = (10) (10) Similarly, Pr(A2 A3) and Pr(A1A3) have the same value. Finally, the event A1A2 A3 will occur if and only if all three colors are missing, which is obviously impossible. Therefore, Pr(A1 A2 A3) = 0.
Transcribed Image Text:6. Let A1 denote the event that no red balls are selected, let A2 denote the event that no white balls are selected, and let A3 denote the event that no blue balls are selected. The desired probability is Pr(Aj U A2 U A3) and we shall apply Theorem 1.10.1. The event A1 will occur if and only if the ten selected balls are either white or blue. Since there are 60 white and blue balls, out of a total of 90 balls, 90 we have Pr(A1) = Similarly, Pr(A2) and Pr(A3) have the same value. The event A1A2 30 will occur if and only if all ten selected balls are blue. Therefore, Pr(A1A2) = (10) (10) Similarly, Pr(A2 A3) and Pr(A1A3) have the same value. Finally, the event A1A2 A3 will occur if and only if all three colors are missing, which is obviously impossible. Therefore, Pr(A1 A2 A3) = 0.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS