If events A and B are independent, what must be true?

P (AB) = P (B)

P (AB) = P (A)

P (A) = P (B)

P (AB) = P (BA)

Question

Mathematics

Adrienne Wiley

15 July, 11:13

If events A and B are independent, what must be true?

P (AB) = P (B)

P (AB) = P (A)

P (A) = P (B)

P (AB) = P (BA)

+5

Answers (1)

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Maximillian · Answer 1

The last option is correct for two independent events.

P (A and B) = P (A) P (B)

And P (B and A) = P (B) P (A) which is equal. And other three cases are false.

If events A and B are independent, what must be true?P (AB) = P (B)P (AB) = P (A)P (A) = P (B)P (AB) = P (BA)

If events A and B are independent, what must be true?

P (AB) = P (B)

P (AB) = P (A)

P (A) = P (B)

P (AB) = P (BA)