Question

14. If P(A1)+P(A2)+ P(A3) = 1, then the events A1,A2,A3, are
(a) Pairwise independent.
(b) mutually exclusive
(c) mutually exhaustive
(d) mutually exclusive and exhaustine.​

Answer 1

Answer:

Correct option is B)

Given A,B,C are mutually exclusive and exhaustive events

When A,B,C are mutually exclusive events,

⇒P(A∪B∪C)=P(A)+P(B)+P(C)

When A,B,C are exheustive event,

⇒P(A)+P(B)+P(C)=1

Hence, the answer is probability always 1.