Question

according to the general equation for conditional probability if P(AnB)=5/7 and P(B)=7/8 what is P(A|B)

Answer 1

`(40)/(49)`

Explanation:

We are given the probabilities P(A∩B)=5/7 and P(B)=7/8 and we are to find P(A|B) according to the general equation for conditional probability.

So we will use the following formula for this:

P(A|B) = P(A∩B) / P(B)

Substituting the given values in the above formula to get:

P(A|B) =
`((5)/(7) )/((7)/(8) )` =
`(5)/(7) * (8)/(7)`

P(A|B) =
`(40)/(49)`

Answer 2

`P(A|B)=(40)/(49)`

Explanation:

We know that

the general equation for conditional probability is

`P(A|B)=(P(AnB))/(P(B))`

we are given

`P(AnB)=(5)/(7)`

`P(B)=(7)/(8)`

now, we can plug values

`P(A|B)=((5)/(7))/((7)/(8))`

now, we can simplify it

`P(A|B)=(5\cdot \:8)/(7\cdot \:7)`

so, we get

`P(A|B)=(40)/(49)`