A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, ‘the number is even,’ and B be the event, ‘the number is red’. Are A and B independent?


Given: A die is given.

The sample space for the dice will be:


S = {1, 2, 3, 4, 5, 6}


Let A be the event, the number is even:


A = {2, 4, 6}



Now, Let B be the event, the number is red:


B = {1, 2, 3}


P(B) =


As, A B = {2}


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 not independent events.


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