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Let A and B two events such that the pro...

Let A and B two events such that the probgability that exactly one of them occurs is `2/5` and the probability that A or B occurs is `1/2`, then probability of both of them occur together is :

A

`0.10`

B

`0.20`

C

`0.01`

D

`0.02`

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The correct Answer is:
A
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Knowledge Check

  • Let A and B be two events such that the probability that exactly one of them occurs is 1/5 and the probability that A or B occurs is 1/3 , then the probability of both of them occur together is :

    A
    `2/15`
    B
    `4/15`
    C
    `1/15`
    D
    `7/15`

  • If A and B are any two events, the probability that exactly one of them occurs is

    A
    `P(A)+P(B)-2P(A cap B)`
    B
    `P(overline(A))+P(overline(B))-2P(overline(A)cap overline(B))`
    C
    `P(AcupB)+P(A cap B)`
    D
    `P(A)-P(B)+2P(overlineAcap B)`

  • If A and B are two events, then the probability that exactly one of them occurs, is given by

    A
    `P (A) + P (B) -2 P (A nn B)`
    B
    `P (A nn B) - P (A ' nn B)`
    C
    `P (A uu B) + P (A nnB)`
    D
    `P (A') + P (B') + 2 P (A ' nn B)`

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