Question

P(ANB) =3/10

Answer 1

Answer:

$\frac{3}{4}$

Step-by-step explanation:

This is a question from conditional probability.

We are given:

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

$P(B)=\frac{2}{5}$

And, we need to find P(A | B)

According to the formula of conditional probability:

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

Using the values, we get:

$P(A|B)=\frac{\frac{3}{10} }{\frac{2}{5} }\\\\P(A|B)=\frac{3}{4}$

Thus, the probability of occurrence of event A given that event B has already occurred is $\frac{3}{4}$