Question

If P(A)= 2/3, P(B)= 4/5, and P(AuB)= 11/15, what is P(AnB)? A. 11/15 B. 14/15 C. 8/15 D. 13/15

Answer 1

A . P(A n B)=
`(11)/(15)`

Explanation:

Step :-

we know that
`P(A U B) = P(A) + P(B) - P(A n B)` ........(1)

given that

`P(A) = (2)/(3)`

`P(B) = (4)/(5)` ,
`P(AUB) = (11)/(15)`

substitute all these values in equation (1)

we get
`(11)/(15) = (2)/(3) + (4)/(5) - P(A n B)`

`P(A n B) = (10+12)/(15) - (11)/(15)`

`P(A n B) = (22-11)/(15)`

`P(AnB) = (11)/(15)`