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?

A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be t

1.	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?
Answer» As per the given details, `A = {2,4,6} and B = {1,2,3}` `AnnB = {2}` `P(A) = 3/6 = 1/2 and P(B) = 3/6=1/2` `P(AnnB) = 1/6` For A and B to be independent,`P(AnnB) = P(A)P(B)` Here, `P(A).P(B) = 1/4` As, `P(AnnB) != P(A)P(B)`, `A` and `B` are not independent.

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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?

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