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Ex 13.1, 5 - If P(A) = 6/11, P(B) = 5/11, P(A U B) = 7/11 - Conditional Probability - Values given

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  1. Chapter 13 Class 12 Probability
  2. Serial order wise
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Ex 13.1, 5 If P(A) = 6﷮11﷯ , P(B) = 5﷮11﷯ and P(A ∪ B) 7﷮11﷯ , find (i) P(A ∩ B) P(A) = 6﷮11﷯ , P(B) = 5﷮11﷯ and P(A ∪ B) 7﷮11﷯ Now, P(A ∪ B) = P(A) + P(B) – P(A ∩ B) 7﷮11﷯ = 6﷮11﷯ + 5﷮11﷯ – P(A ∩ B) P(A ∩ B) = 11﷮11﷯ – 7﷮11﷯ P(A ∩ B) = 𝟒﷮𝟏𝟏﷯ Ex 13.1, 5 If P(A) = 6﷮11﷯ , P(B) = 5﷮11﷯ and P(A ∪ B) 7﷮11﷯ , find (ii) P(A|B) P(A|B) = 𝑃(𝐴 ∩ 𝐵)﷮𝑃(𝐵)﷯ = 4﷮11﷯﷮ 5﷮11﷯﷯ = 𝟒﷮𝟓﷯ Ex 13.1, 5 If P(A) = 6﷮11﷯ , P(B) = 5﷮11﷯ and P(A ∪ B) 7﷮11﷯ , find (iii) P(B|A) P(B|A) = 𝑃(𝐵 ∩ 𝐴)﷮𝑃(𝐴)﷯ = 𝑃(𝐴 ∩ 𝐵)﷮𝑃(𝐴)﷯ = 4﷮11﷯﷮ 6﷮11﷯﷯ = 4﷮6﷯ = 𝟐﷮𝟑﷯

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