Question

If a and b are independent events then it must be true that P(A|B)=P(A).

TRUE OR FALSE.
( i believe its false not sure tho)

Answer 1

Answer: FALSE

a p e x

Explanation:

Answer 2

If
`A` and
`B` are independent, then
`P(A\cap B)=P(A)\cdot P(B)`. Then the conditional probability is


`P(A\mid B)=(P(A\cap B))/(P(B))=(P(A)\cdot P(B))/(P(B))=P(A)`

so the claim is true.