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Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P (E|F) and P(F|E). - Mathematics

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प्रश्न

Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P (E|F) and P(F|E).

योग

उत्तर

Given P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2

`P(E|F) = (P(E ∩ F))/(P(E)) = 0.2/0.3 = 2/3`

and `P(F|E) = (P(E ∩ F))/(P(E)) = 0.2/0.6 = 1/3`

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अध्याय 13: Probability - Exercise 13.1 [पृष्ठ ५३८]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 13 Probability
Exercise 13.1 | Q 1 | पृष्ठ ५३८

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