You are told that P (A | B) = P (B | A). Which statement below must be true?

A and B are equally likely

P (A | B) = 0.5

A and B are independent

A and B are dependent

Question

Mathematics

Alannah Gilmore

6 August, 03:36

You are told that P (A | B) = P (B | A). Which statement below must be true?

A and B are equally likely

P (A | B) = 0.5

A and B are independent

A and B are dependent

+2

Answers (1)

Know the Answer?

Merlin · Answer 1

The best answer to the question that is being stated above would be that A and B are both dependent. If I was told that P (A | B) = P (B | A), then the true statement is that both variables inside would be dependent upon each other, no matter if you exchange their places with one another.

You are told that P (A | B) = P (B | A). Which statement below must be true?A and B are equally likelyP (A | B) = 0.5A and B are independentA and B are dependent

You are told that P (A | B) = P (B | A). Which statement below must be true?

A and B are equally likely

P (A | B) = 0.5

A and B are independent

A and B are dependent