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4 votes
Events A and B are overlapping.

P(A) =4/11 ; P(B) =3/11 , P(A and B) = 2/11.

Find P(A or B).
7/11
5/11
8/11
9/11

2 Answers

10 votes

Answer:

5/11

Explanation:

Given:

  • P(A) = 4/11
  • P(B) = 3/11
  • P(A ∩ B) = 2/11

We can construct a Venn diagram to help answer this question (see attached).

Place 2/11 in the overlapping part. Then calculate the remaining probabilities:

P(A) - P(A ∩ B) = 4/11 - 2/11 = 2/11

P(B) - P(A ∩ B) = 3/11 - 2/11 = 1/11

P(A' ∩ B') = 1 - 5/11 = 6/11

So P(A ∪ B) = 2/11 + 2/11 + 1/11 = 5/11

Events A and B are overlapping. P(A) =4/11 ; P(B) =3/11 , P(A and B) = 2/11. Find-example-1
User Matt Kneiser
by
8.2k points
3 votes

5/11 is the final answer.

  • P(A) = 4/11
  • P(B) = 3/11

When events are overlapping

formula: P(A or B) = P(A) + P(B) - P(A and B)

=======

P(A or B) = 4/11 + 3/11 - 2/11

P(A or B) = 7/11 - 2/11

P(A or B) = 5/11

User Orrin
by
7.9k points

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