question_answer 1)

A fair coin and an unbiased die are tossed. Let A be the event, ‘head appears on the coin’ and B be the event, ‘3 on the die’, check whether A and B are independent events or not ?

Answer:

S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}       A = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)}       B = {(H, 3), (T, 3)}             Now P(A) =                                     Since P(AB) = (A) P(B)       Therefore, A and B are independent events.