Given two events A and B with the following probabilities: P ( A ∪ B ) = 3 4 P(A \cup B) = \frac{3}{4} P ( A ∪ B ) = 4 3 ​ P ( A ∩ B ) = 1 4 P(A \cap ...

Question

Given two events A and B with the following probabilities:

  • P(AB)=34P(A \cup B) = \frac{3}{4}
  • P(AB)=14P(A \cap B) = \frac{1}{4}
  • P(A)=23P(A') = \frac{2}{3}

Calculate P(AB)P(A' \cap B) and determine whether A and B are independent, mutually exclusive, or dependent events.

Options

A.

Independent

B.

Not Mutually Exclusive

C.

Dependent

D.

Mutually Exclusive

probabilityset theoryeventsindependencevenn diagram

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