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Given that the events A and B are such t...

Given that the events A and B are such that `P(A)=(1)/(2)," and "P(A cupB)=(3)/(5)P(B)=P`. Find P if they are independent.

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Given that the event A and B are such that P (A)= 1/2,P(A cap B)=3/7 and P(B)=K find k if A and B are independent.

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Knowledge Check

  • If A and B are two events such that P(A) = 1/2 and P(B) = 2/3, then

    A
    `P(A cup B) ge 2/3`
    B
    `P(A cap B^(')) gt 1/3`
    C
    `P(A cap B) gt 1/2`
    D
    `P(A^(') cap B) gt 1/2`

  • A and B are two events such that P(A)!=0, P(B//A) is

    A
    1, 1
    B
    0 and 1
    C
    0, 0
    D
    `1, 0`

  • It is given that events A and B are such that : P(A) = 1/4 ,P (A//B) =1/2 and P (B//A) =2/3 . Then P(B) is :

    A
    `1/2`
    B
    `1/6`
    C
    `1/3`
    D
    `2/3`

    • Similar Questions

    Explore conceptually related problems

    It is given that the events A and B are such that P(A)=1/4, P(A/B)=1/2"and"p(B/A)=2/3dot Then P(B) is:

    If A and B are events such that P(A/B)=P(B/A) , then

    A and B are two events, such that P(A)=(3)/(5) and P(B)=(2)/(3) if A and B are independent then find P(A intersection B)

    If P(A) = 3/5P(B) = 1/5 . Find P(A cap B) if A an B are independent events.

    Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not A or not B)"=(1)/(4) . State whether A and B are independent ?

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