True or false: If A and B are mutually exclusive,

a. P (A⋃B) = 0

b. P (A⋂B) = 0

c. P (A⋃B) = P(A⋂B)

d. P (A⋃B) = P(A) + P(B)

Step 1 of 5:

Given that A and B are mutually exclusive events.that means only one event can occur at a time.

Event A and B cannot happen simultaneously.

Using this fact we have to identify which are true and which are false.

Step 2 of 5:

(a)

We have to check whether P(AB)=0 is true of false.

This is false,because P(AB) always yields the sample space and it cannot be equal to 0.

So,P(AB)=0 is false.

Step 3 of 5:

(b)

We have to check whether P(AB)=0 is true or false.

It is given that A and B are mutually exclusive events.So P(AB)=0 happens.

Thus,P(AB)=0 is true.