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

Answer:3/4

Explanation:

Answer 2

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

Solution:

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

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

`P(B) = (3)/(5)`

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

The required formula is:

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

Substituting the values,

`\begin{aligned}&P(A | B)=((3)/(10))/((3)/(5))\\\\&P(A | B)=(3)/(10) * (5)/(3)=(1)/(2)\end{aligned}`

`\text{ Thus } P(A | B) = (1)/(2)`