Question

According to the general equation for conditional probability, if P(ANB) = 3/10
and P(B)= 3/5, what is P(AIB) ?

Answer 1

According to the general equation for conditional probability, if P(ANB) = 3/10  and P(B)= 3/5, then P(A I B) is $\frac{1}{2}$

Solution:

Given that, According to the general equation for conditional probability,

$P( A \cap B) = \frac{3}{10}$

$P(B) = \frac{3}{5}$

We need to find $P(A | B)$

The required formula is:

$P(A | B)=\frac{P(A\cap B)}{P(B)}$

Substituting the values,

$\begin{aligned}&P(A | B)=\frac{\frac{3}{10}}{\frac{3}{5}}\\\\&P(A | B)=\frac{3}{10} \times \frac{5}{3}=\frac{1}{2}\end{aligned}$

$\text{ Thus } P(A | B) = \frac{1}{2}$

Answer 2

Answer:3/4

Step-by-step explanation: