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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, then what will be the value of P(E/F) and P(F/E). -

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Question

Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, then what will be the value of P(E/F) and P(F/E).

Options

  • `2/1` and `1/3`

  • `1/3` and `2/3`

  • `16/25` and `1/3`

  • `1/3` and `16/25`

MCQ

Solution

`2/1` and `1/3`

Explanation:

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

`F(F/E) = (P(E ∩ F))/(P(E)) = 0.2/0.6 = 2/6 = 1/3`

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