Question

If two events are Mutually Exclusive then which of the following holds good? 

(a) Events whose occurrence do not depend on the occurrence of any other events 

(b) The occurrence of one precludes the occurrence of the other 

(c) P(A∩B)= 0 

(d) P(A ∩ B) = P(A)+ P(B)

Answer 1

Correct option (b) and (c) [ P(A ∩ B) = 0]

Explanation:

Examples of Mutually Exclusive Events: 

1. In a soccer game scoring no goal (event A) and scoring exactly one goal (event B). 

2. In a deck of cards Kings (event A) and Queens (event B). 

Examples Not Mutually Exclusive Events: 

In a deck of cards Kings (event A) and Hearts (event B). They have common cards i.e. Heart King. So (A ∩ B) ≠ 0. 

Events whose occurrence do not depend on the occurrence of any other events are called independent events.