Home
Class 12
MATHS
(i) If P is a probability function, show...

(i) If P is a probability function, show that for any two events A, B.
`P(AnnB) le P(A) le P(AuuB) le P(A)+P(B)`
(ii) For any two events A,B show that
`P(barAnnbarB)=1+P(AnnB)-P(A)-P(B)`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.2(short answer type question)|8 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.3(very short answer type question)|3 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.1(short answer type question)|5 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

Similar Questions

Explore conceptually related problems

If P is a probability function, then show that for any two events A and B. P(AcapB)leP(A)leP(AcupB)leP(A)+P(B)

For any two events A and B, shows that P(A^(C)capB^(C))=1" +"P(AcapB)-P(A)-P(B).

If A and B are two independent events such that P(AnnB)=1//6 and P(AnnB')=1//3 then P(A)=

If A and B are two events such that P(A)=(1)/(2) and P(B)=(2)/(3) then

For any sets A and B, show that P ( A ∩ B ) = P ( A ) ∩ P ( B ) .

If A and B are two events such that P(A uu B)=0.65, P(A nnB)=0.15 then P(barA)+P(barB) =

If A,B are two events, then show that P((A)/(B))P(B)+P((A)/(B^(C)))P(B^(C))=P(A).

For any two events A,B shows that P(AcapB)-P(A)P(B)=P(A^(C))P(B)-P(A^(C)capB) =P(A)P(B^(C))-P(AcapB^(C))