CBSE Class 11-science Answered

Two events are mutually exclusive (or disjoint) if it is impossible for them to occur together. This characteristic means that mutually exclusive events cannot occur simultaneously and therefore can have no intersections.

Formally, two events A and B are mutually exclusive if and only if

A B =

Example 1:

Rolling a die once

Sample space S = {1, 2, 3, 4, 5, 6}

Event A = observe an odd number = (1, 3, 5)

Event B = observe an even number = (2, 4, 6)

A B = = the empty set, so A and B are mutually exclusive.

Example 2:

From a well shuffled pack of cards, if you pick up one card at random and would like to know whether it is a King or a Queen. The selected card will be either a King or a Queen. It cannot be both a King and a Queen. If King occurs, Queen will not occur and Queen occurs, King will not occur.