Question

According to the general equation for conditional probability, if p(a^

b.= 3/10 and p(
b.= 4/5, what is P(a^
b.

Answer 1

`(3)/(8)`

Explanation:

Since, the general equation of conditional probability is,

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

We have,

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

`P(B)=(4)/(5)`

By substituting the values,

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

`=(5* 3)/(10* 4)`

`=(15)/(40)`

`=(3)/(8)`

Hence, the value of P(A∩B) is 3/8.

Answer 2

This is the concept of probability and statistics;
The question requires us to get the conditional probability is given by:
P(A|B)=(P(A∩B))/P(B)
but;
P(A∩B)=3/10
P(B)=4/5
thus;
P(A|B)=(3/10)/(4/5)=3/8
The answer is 3/8