Question

If A and B are independent events,then $P\left(\frac{B}{A}\right)=$

• A. $P\left(A\right)$
• B. $\frac{P\left(B\right)}{P\left(A\right)}$
• C. $P\left(B\right)$
• D. $P\left(A\right).P\left(B\right)$

Answer 1

The correct option is C $P\left(B\right)$

If A and B are independent events then: $P(A\cap B)=P\left(A\right)P\left(B\right)$
$P\left(\frac{B}{A}\right)=\frac{P(A\cap B)}{P\left(A\right)}=\frac{P\left(A\right)P\left(B\right)}{P\left(A\right)}=P\left(B\right)$