Page No 546:
Question 5:
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?
When a die is thrown, the sample space (S) is
S = {1, 2, 3, 4, 5, 6}
Let A: the number is even = {2, 4, 6}
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B: the number is red = {1, 2, 3}
∴ A ∩ B = {2}
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Therefore, A and B are not independent.