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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)=0.3 and (E cap F)=0.2`, find P(E|F) and P(F|E)

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)`
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Explore conceptually related problems

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

E and F are independent 'such that P(E) = 0.35 and P(E cup F)=0.6 then find P(F).

Knowledge Check

  • If P(E ) = 0.8, P(F) = 0.5 and P(E cap F) = 0.4 then P( E//F)=….......

    A
    `0.80`
    B
    `0.32`
    C
    `0.64`
    D
    `0.98`
  • Two events E and F are independent. If P(E ) = 0.3 and P(E cup F)= 0.5 , then P(E//F)- P(F//E) equal ………

    A
    `(2)/(7)`
    B
    `(3)/(35)`
    C
    `(1)/(70)`
    D
    `(1)/(7)`
  • If two events A and B are such that P(A')= 0.3, P(B)=0.5 and P(A cap B) = 0.3 , then P(B | A cup B') is …………

    A
    0.375
    B
    0.32
    C
    0.31
    D
    0.28
  • Similar Questions

    Explore conceptually related problems

    If E and F are events such that P(E)=(1)/(4),P(F)=(1)/(2) and P(E and F)=(1)/(8) find (i) P(E or F), (ii) P (not E and not F).

    For events A and B if P(A) = 0.7, P(B) = 0.5 and P(A cap B)= 0.3 then find P(A |B) .

    Given two independent events A and B such that P(A)= 0.3, P(B)= 0.6 . Find P(A or B)

    For events A and B if P(A) = 0.3, P(B) = 0.6 and P(B | A) = 0.5 then find P( A | B) and P(A cup B) .

    For events E and F if P(E) le P(F) and P(E cap F) gt 0 then …………