Straight Lines

Question
CBSEENMA11014630

Three coins are tossed. Describe two events which are mutually exclusive.

Solution

Three coins are tossed.
rightwards double arrow The sample space is: S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
Event E: three heads show
rightwards double arrow                          E = {HHH}
Event F: three tails show
rightwards double arrow                          F = {TTT}
                        straight E intersection straight F space equals space left curly bracket HHH right curly bracket space intersection space left curly bracket TTT right curly bracket space equals space straight ϕ
Hence, E and F are mutually exclusive event.