Question

If P(A)=3

P(B)
=
NIL
and P(AUB) = what is P(An B)?
5'
A. 2
15
B.
3
15
c.
15
D.
11
15

Answer 1

We know that,

`P(A\cup B)=P(A)+P(B)-P(A\cap B)`

which means

`P(A\cap B)=P(A)+P(B)-P(A\cup B)`

Now insert the data to get,

`P(A\cap B)=(1)/(3)+(2)/(5)-(3)/(5)=(1)/(3)-(1)/(5)=(5-3)/(3\cdot5)=\boxed{(2)/(15)}`

Hope this helps :)