Q. 44.6( 44 Votes )

A fair coin and a

Answer :

Given: A fair coin and an unbiased die are tossed.

We know that the sample space S:


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)}


Let A be the event ‘head appears on the coin:


A = {(H,1), (H,2), (H,3), (H,4), (H,5), (H,6)}


P(A) =


Now, Let B be the event 3 on the die:


B = {(H,3), (T,3)}



As, A B = {(H,3)}


P(A B) = ..(1)


And P(A) . P(B) = ..(2)


From (1) and (2) P (A B) = P(A) . P(B)


Therefore, A and B are independent events.


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