If P(A) = (\frac 12), P(B) = 0, then P(A|B) is : | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

If P(A) = $\frac 12$ , P(B) = 0, then P(A|B) is :

A

$0$

B

$\frac 12$

C

$Not \ Defined$

D

$1$

Answer

$Not \ Defined$

Explanation

Solution

$P(A)=\frac 12$

$P(B)=0$

$∴ P(A∩B)=0$

$∴P(A|B)=\frac {P(A∩B)}{P(B)}$

$P(A|B) =\frac 00$

$P(A|B) = Not\ Defined$

$Therefore,\ option\ (C) \ is \ correct.$