Question

Find p(A|A^c)
A.1
B.0
C.1/2
D. Unknown

Answer 1

B.

Explanation:

Answer 2

If
`A^C` has occurred, then
`A` cannot occur, so the probability is 0.

This follow directly from the definition of conditional probability:

`P(A\mid A^C)=(P(A\cap A^C))/(P(A^C))`

but
`A` and
`A^C` are disjoint, so the probability of their intersection is 0.