Question

G and H are mutually exclusive events. P(A)= 0.5; P(B)=0.3

Explain why this statement must be false: P(B I A)=0.4

Answer 1

If two events are mutually exclusive, then the probability of one event does NOT depend on the other occurring (or not occurring).

ie

P(B I A)=P(B)
and
P(A | B)=P(A)

Answer 2

why must the following statement be false then?

Answer 3

Have a look at the probability values they gave you.

P(B I A)=0.4 and P(B)=0.3

Now compare them to this... P(B I A)=P(B) which is true for mutually exclusive events.

Answer 4

Ah, I see that now! Thank you.

Answer 5

You're welcome :)