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If P(A) and P(B) are the probabilities o...

If P(A) and P(B) are the probabilities of occurrence of two events A and B, then the probability that exactly one of the two events occur, is

A

`P(AcupbarB)+P(barAcapB)`

B

`P(AcupB)-P(AcapB)`

C

P(A) + P(B)

D

`P(A) + P(B) -2P(AcapB)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
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Knowledge Check

  • 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)`

  • 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 P (E) denotes probability of occurrence of event E, then :

    A
    `P(E)in [-1,1]`
    B
    `P(E) in (1,oo)`
    C
    `P(E)in(0,1)`
    D
    `P(E)in[0,1]`

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    The probability of non-occurrence of an event is 5/12 . Find the probability of the occurrence of the event.

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