3. If P(AuB)=0.8, P(AnB')=0.3, and P(BnA')=0.2, determine following probabilities. 3-A. P(AUB)' 3-B. P(ANB) 3-C. P(A) 3-D. P(B) 3-E. P(B¹)

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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3. If P(AUB)=0.8, P(AnB')=0.3, and P(BnA')=0.2,
determine following probabilities.
3-A. P(AUB)'
3-B. P(ANB)
3-C. P(A)
3-D. P(B)
3-E. P(B¹)
Transcribed Image Text:3. If P(AUB)=0.8, P(AnB')=0.3, and P(BnA')=0.2, determine following probabilities. 3-A. P(AUB)' 3-B. P(ANB) 3-C. P(A) 3-D. P(B) 3-E. P(B¹)
Expert Solution
Step 1: Writing given information

Given:

  • P(A U B) = 0.8 (Probability of the union of A and B)
  • P(A ∩ B') = 0.3 (Probability of the intersection of A and complement of B)
  • P(B ∩ A') = 0.2 (Probability of the intersection of B and complement of A)



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