Question

According to the general equation for conditional probability, if P(A and B^)= 1/6 and P(B')= 7/18, what is P(A and B') ?

Answer 1

the answer is 3/7 APEX

Answer 2

The required probability is
`P(A/B')=(3)/(7)`

Explanation:

Given :
`\text{P(A and }B')=(1)/(6)` and
`P(B')=(7)/(18)`

To find : What is P(A/B') ?

Solution :

The conditional probability states that,

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

According to given situations,

The conditional probability is

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

Substitute
`P(A\cap B')=(1)/(6)` and
`P(B')=(7)/(18)`

`P(A/B')=((1)/(6))/((7)/(18))`

`P(A/B')=(1* 18)/(6* 7)`

`P(A/B')=(3)/(7)`

Therefore, The required probability is
`P(A/B')=(3)/(7)`