Home
Class 12
MATHS
If 0 lt P(A) lt 1, 0 lt P(B) lt 1 and P...

If ` 0 lt P(A) lt 1, 0 lt P(B) lt 1` and `P(A cup B)=P(A)+P(B)-P(A)P(B)`, then

A

`P(B//A)=P(B)-P(A)`

B

`P(A^(C)-B^(C))=P(A^(C))-P(B^(C))`

C

`P(AcupB)^(C)=P(A^(C)).P(B^(C))`

D

`P(A//B)=P(A)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ML KHANNA|Exercise Problem Set (1) TRUE AND FALSE|11 Videos
  • PROBABILITY

    ML KHANNA|Exercise Problem Set (1) FILL IN THE BLANKS|17 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 0ltP (A)lt1, 0ltP(B) lt1 and P(A uu B)=P(A)+P(B)-P(A)*P(B) then (A) P(B//A)=P(B)-P(A) (B) P(A^(c)-B^(c))-P(A^(c))-P(B^(c)), (C) P(A uu B)^(c)=P(A^(c))*P(B^(c)) (D) P(A//B)=P(A)

If 0

If P (B) = (3)/(5) , P (A//B) = (1)/(2) and P (A cup B) = (4)/(5) , then P(A cup B)' + P( A' cup B) is equal to :

Suppose A and B are two events such that 0 lt P(B) lt 1 . If P(A|B')=(P(A))/(1-P(B)) then which one of the following is not true?

1.If P(B/A)=P(B) and P(A)!=0 P(B)!=0 then