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Addez123

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**Summary::**Roll a dice twice.

Event A: First dice roll yield 2 or 5.

Event B: Sum of the two results are atleast 7

Is A and B independent?

If they are independent then

$$P(A \cap B) = P(A) * P(B)$$

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

P(B) = 1 - 9/36 = 27/36

$$P(A \cap B) = 7/36 \neq P(A)*P(B) = 1/4$$Yet book says they are independent.