Question

Three coins are tossed once. Let A denote the event “three heads show”, B denote the event “two heads and one tail show”. C denote the event “three tails show” and D denote the event ‘a head shows on the first coin”. Which events are mutually exclusive?

• A. B & C
• B. C & D
• C. A & C
• D. None of these

Answer 1

Answer:

C. A & C

A = { ( H H H) } B = { (H H T) ( T H H ) ( H T H)} C = { (T T T)} D = {(H H H ) (H H T) ( H T H) (H T T)} A ∩ B =φ A ∩ C =φ A ∩ D ≠φ B ∩ C =φ B ∩ D ≠ φ C ∩ D =φ