Question

P(ANB) =3/10

According to the general equation for conditional probability, if
P(B)= 2/5
stie P(AIB)?
and
o
what is

Answer 1

`(3)/(4)`

Explanation:

This is a question from conditional probability.

We are given:

`P(A \cap B) = (3)/(10)`

`P(B)=(2)/(5)`

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

According to the formula of conditional probability:

`P(A|B)=(P(A \cap B))/(P(B))`

Using the values, we get:

`P(A|B)=((3)/(10) )/((2)/(5) )\\\\P(A|B)=(3)/(4)`

Thus, the probability of occurrence of event A given that event B has already occurred is
`(3)/(4)`