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For two given event A and B, P(AcapB) is...

For two given event A and B, `P(AcapB)` is

A

not less than `P(A)+P(B)-1`

B

not greater than `P(A)+P(B)`

C

equal to `P(A)+P(B)-P(AcupB)`

D

equal to `P(A)+P(B)+P(AcupB)`

Text Solution

Verified by Experts

The correct Answer is:
(a,b,c)
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For two events A and B, P(AcapB) is

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Knowledge Check

  • For two given events A and B, P(A cup B) is

    A
    not less than P(A)+P(B)-1
    B
    not greater than P(A)+P(B)
    C
    equal to `P(A)+P(B)-P(A cup B)`
    D
    equal to P(A)+P(B)+P(A cup B)

  • For two given events A and B P(A nn B) =

    A
    Not less than P(A) + P(B) -1
    B
    Not greater than P(A) + P(B)
    C
    Equal to `P(A) + P(B) - P(A uu B)`
    D
    All of the above

  • If A and B are two given events, then P(A cap B) is

    A
    not less than P(A)+P(B)-1
    B
    not greater than `P(A)+P(B)-P(A cup B)`
    C
    equal to `P(A)+P(B)+P(A cap B)`
    D
    equl to `P(A)+P(B)+P(A cup B)`

    • Similar Questions

    Explore conceptually related problems

    For two independent events A and B, what is P(A+B), given P(A)=3/5 and P(B)=2/3

    For any two events A and B P(AuuB)=P(A)+P(B)- ……………………...

    Statement -1 : if the odds against an event is 2/3 , then probability of occuring of the event is 3/5 . Statement-2 : For two events A and B, P(A'capB')=1-P(AcupB).

    For any two events A and B, if P (A uu B) = P ( A nn B, then

    Let for two events A and B , P(A)=p and P(B)=q . Statement-1 : The probability that exactly one of the event A and B occurs is p+q-2pq Statement-2 : P(AcupB)=P(A)+P(B)-P(AcapB) .

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