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fieryanswererft

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)

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

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

P(A or B) = 5/11

semsee45

Answer:

5/11

Step-by-step 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

Ver imagen semsee45

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