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Given that E and F are events such that...

Given that E and F are events such that `P (E) = 0. 6`, `P (F) = 0. 6`, `P(F) = 0. 3`and `P(EnnF)= 0. 2`, find `P (E|F)`and `P (F|E)`.

Text Solution

AI Generated Solution

To solve the problem, we need to find the conditional probabilities \( P(E|F) \) and \( P(F|E) \) using the provided probabilities. Given: - \( P(E) = 0.6 \) - \( P(F) = 0.3 \) - \( P(E \cap F) = 0.2 \) ### Step 1: Calculate \( P(E|F) \) ...
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Knowledge Check

  • If E and F are two events such that 0 lt P(F) lt 1, then

    A
    P(E|F')+P(E'|F')=1
    B
    P(E|F)+P(E|F')=1
    C
    P(E'|F)+P(E|F')=1
    D
    none of these

  • If P (E) = 0.40, P (F) = 0.35, P (E uu F) = 0.55, then P(F/E) is

    A
    `0.5`
    B
    `0.25`
    C
    `0.6`
    D
    `0.7`

  • If P( E) = 0.35 , P (E cup F) = 0.85 and P( E cap F) =0.15 , then find P( E) .

    A
    `0.65`
    B
    `0.50`
    C
    `1.20`
    D
    None of these

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

    If P(E)=0.6,P(F)=0.3 and P(E nn F)=0.2 , then find P(E//F) .

    Given that E and F are events such that P(E)=0.6,P(F)=0.3 and P(E nn F)=0.2 . then (i) P(E//F)=(2)/(3) (ii) P(F//E)=(2)/(3) .

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