Question

Events A and B are mutually exclusive. Which of the following statements is also true?​ a....

Events A and B are mutually exclusive. Which of the following statements is also true?​

a.

​P(A ∩ B) = P(A) + P(B)

b.

​A and B are also independent

c.

​P(A U B) = P(A)P(B)

d.

​P(A U B) = P(A) + P(B)

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Answer #1

We know P(AUB) =P(A)+P(B)-P(A∩B),
Since A and B,Mutually Exclusive P(A∩B) =0,
So P(AUB)=P(A)+P(B)

Option d is correct option.

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