Question

Evaluate P (A ∪ B), if 2P (A) = P (B) = 5/13 and P (A|B) = 2/5​

Answer 1

P(A∣B)=

P(B)

P(A∩B)

5

2

=

5/13

P(A∩B)

P(A∩B)=2/13

P(AUB)=P(A)+P(B)−P(A∩B)

=3P(A)−

13

2

=

26

15

−

13

2

=11/26

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Answer 2

Answer:

P(A∣B)=

P(B)

P(A∩B)

5

2

=

5/13

P(A∩B)

P(A∩B)=2/13

P(AUB)=P(A)+P(B)−P(A∩B)

=3P(A)−

13

2

=

26

15

−

13

2

=11/26