sir can you pls explain to me what are mutually exclusive events with 2 examples..????

Asked by MAANASI.M | 8th Feb, 2014, 08:03: AM

Expert Answer:

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 intersectionB = empty set

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 intersectionB = empty set = 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.

Answered by  | 8th Feb, 2014, 01:37: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.