Home
Class 12
MATHS
If A and B are two given events, then P(...

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)`

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)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|27 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Probability Exercise 1: Single Option Single Correct Type Question|1 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

Similar Questions

Explore conceptually related problems

If A and B are two independent events, then P( A and B)=P(A) cdot P(B)

If A and B are two events, then P (neither A nor B) equals

Knowledge Check

  • If A and B are independent events then P(A cap B) is equal to

    A
    `P(A)+P(B)`
    B
    `P(A)-P(B)`
    C
    `P(A).P(B)`
    D
    `(P(A))/(P(B))`

  • If A and B are two events such that P(A cup B) =3/4 ,P(A cap B) = 1/4 and P(bar(A)) =2/3 then P( bar(A) capB) is equal to

    A
    `3/8`
    B
    `5/8`
    C
    `5/12`
    D
    `1/4`

  • If A and B are two independent events with P(A) = 3/5 and P(B) =4/9 then P(A cap B) is equal to: a) 4/15 b) 8/45 c) 1/3 d) 2/9

    A
    `4/15`
    B
    `8/45`
    C
    `1/3`
    D
    `2/9`

    • Similar Questions

    Explore conceptually related problems

    If A and B are two events such that P(Acup B) = P(A cap B) , then the incorrect statement amongst the following is

    Statement-1 : If A and B are two events such that P(A)=1, then A and B are independent. Statement-2: A and B are two independent events iff P(A cap B)=P(A)P(B)

    If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1" - "P (A') P (B')

    If A and B are two independent events with P(A) =1/3 and P(B) = 1/4 , then P(B/A) is equal to

    If A and B are two events that P(A) gt 0 and P(B) != 1 , then P(A/B) is equal to

    Home
    Profile