Answer :

Concept Used: Two events are said to be independent if one event in no way affects the other event. P(A B) ≠ P(A) P(B)

We have-

A = number obtained is even = {2, 4, 6}


B = number obtained is red = {1, 2, 3}


and


A B = {2}


Now,


P(A) = (3/6) = (1/2)


P(B) = (3/6) = (1/2)


and


P(A B) = (1/6)


Clearly, P(A B) ≠ P(A) P(B)


So, A and B are independent events.

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