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?

Explanation

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`

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