Home
Class 12
MATHS
Let E^(@) denotes the complement of an ...

Let `E^(@)` denotes the complement of an event E. If E, F, G are pairwise independent events with `P(G) gt 0` and `P (E nn F nn G) =0`. Then, `P(E^(@) nn F^(@)|G)` equals :

A

`P(E^(C))+P(F^(C))`

B

`P(E^(C))-P(F^(C))`

C

`P(E^(C))-P(F)`

D

`P(E)-P(F^(C))`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion / Reason)|1 Videos

  • PERMUTATIONS AND COMBINATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST|20 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

Similar Questions

Explore conceptually related problems

Let E^(c) denote the complement of an event E . Let E,F,G be pairwise independent events with P(G)>0 and P(E nn F nn G)=0 Then P(E^(c)nn F^(c)nn G) equals (A)P(E^(c))+P(F^(c)) (B) P(E^(c))-P(F^(c))(C)P(E^(c))-P(F)(D)P(E)-P(F^(c))

Let A,B,C be pariwise independent events with P(C)>0 and P(A nn B nn C)=0 . Then P(A^(c)nn(B^(c))/(C))

Knowledge Check

  • Let E^(C) denote the complement of an event E. Let E_(1),E_(2) and E_(3) be any pairwise independent events with P(E_(1))gt0 and P(E_(1)nn E_(2) nn E_(3))=0 . Then P(E_(2)^(C)nnE_(3)^(C)//E_(1)) is equal to :

    A
    `P(E_(3)^(C))-P(E_(2)^(C))`
    B
    `P(E_(3))-P(E_(2)^(C))`
    C
    `P(E_(3)^(C))-P(E_(2))`
    D
    `P(E_(2)^(C))+P(E_(3))`

  • If P (E) denotes the probability of an event E, then:

    A
    `0 lt P (E ) le 1`
    B
    `0 lt P (E ) lt 1`
    C
    `0 le P (E ) le 1`
    D
    `0 le P (E ) lt 1`

  • If E and F are events with P(E) le P(F) and P(E nn F) gt 0, then

    A
    occurrence of E `rArr` occurrence of F
    B
    occurrence of F `rArr` occurrence of E
    C
    non-occurrence of E `rArr` non-occurrence of F
    D
    none of the above implication hold

    • Similar Questions

    Explore conceptually related problems

    If E and Fare independent events such that 0

    If E and F are independent events such that 0 lt P(E) lt 1, and 0 lt P(F) lt1 . Then

    If E and F are independent events such that 0 lt P(E) lt 1, and 0 lt P(F) lt1 . Then

    If E and F are two independent events such that 0 lt P( E) lt 1 and 0 lt P(F) lt 1 , then

    If E and F are independent events such that 0 lt P(E) lt 1 and 0 lt P(F) lt 1, then

    Home
    Profile