Ex 13.2, 5 - A die marked 1, 2, 3 in red 4, 5, 6 in green - Ex 13.2

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  1. Chapter 13 Class 12 Probability
  2. Serial order wise
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Ex 13.2, 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? A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. S = 1, 2, 3, 4, 5, 6﷯ Let two events be A : the number is even B : the number is red Now, two events A and B are independent if P(A ∩ B) = P(A) . P(B) A ∩ B = the number is red and even Only 2 is red and even So, P(A ∩ B) = 1﷮6﷯ And P(A) . P(B) = 1﷮2﷯ × 1﷮2﷯= 1﷮4﷯ Since P(A ∩ B) ≠ P(A) . P(B) Therefore, A and B are not independent

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