lot of 10 components contain three that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Find P(A), P(B|A) and P(B) Find P(A∩B) and P(AC∩B) Are A and B independent? Explain

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 2E: Let E and F be events in a sample space S. aThe probability of E or F occurring is P(EF)= _________....
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lot of 10 components contain three that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective.

  1. Find P(A), P(B|A) and P(B)
  2. Find P(A∩B) and P(AC∩B)
  3. Are A and B independent? Explain
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