Question

The probability of event a is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true ?

__A P(BlA) = y

__B P(Al B) =y

__C P(BlA = x

__D P( and B) = x + y

Answer 1

Option A is correct for plato

Explanation:

A. P(B|A) = y

Answer 2

9514 1404 393

Answer:

A P(BlA) = y

Explanation:

When events are independent, the probability of B is the same regardless of any conditioning on A. That is, P(B) = P(B|A) = y.

__

Additional comment

When you write out the formula for conditional probability in this case, you see that ...

P(B) = P(B|A) = P(A&B)/P(A)

Multiplying by P(A) tells you ...

P(A)·P(B) = P(A&B) . . . . when A and B are independent