Home
Class 12
MATHS
If two events A and B are such that P(A...

If two events A and B are such that `P(A')=0.3,P(B)=0.4and P(AnnB')=0.5,` then find the value of `P[B//AuuB')].`

Text Solution

Verified by Experts

The correct Answer is:
`1//4`
`P[B//(AuuB')]=(P(Buu(AuuB')))/(P(AuuB'))`
`=(P(AuuB))/(P(A)+P(B')-P(AnnB'))`
`=(P(A)-P(AnnB'))/(P(A)+P(B')-P(AnnB'))`
`=(0.7-0.5)/(0.8)=1/4`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE|Exercise Exercise 14.2|3 Videos

  • PROBABILITY II

    CENGAGE|Exercise Exercise 14.3|8 Videos

  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

  • PROBABILITY I

    CENGAGE|Exercise JEE Advanced Previous Year|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

Similar Questions

Explore conceptually related problems

If two events Aa n dB are such that P(A)=0. 3 ; P(B)=0. 4 ; P( barA nn barB )=0. 5 , then find the value of P(B//AuuB) .

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(B//AuuB') is

If two events A and B are such that P(A^(l))=0.3 , P(B)=0.4 and P(A nn B^(l))=0.5 , then P(B/(A uu B^(l))) equals

If two events A and B are independent such that P(A) = 0.35 and P(A uu B) = 0.6 , then P(B) is

If A and B are two events such that P(AnnB)=0.3 and P(A'nnB')=0.6 , then the value of P(AnnB' or A'nnB) is equal to

If A and B are two events such that P(A)=0.25 , P(B)=0.05 and P(AnnB)=0.14 , then P(AuuB)= ............

If A and B are two events such that P(A) = 0.5, P(B) = 0.6, P(AuuB) = 0.8 , find P(A|B).

Let A and B be any two events such that P(A) = (1)/(2) and P(B) = (1)/(3) . Then find the value of P(A' nn B')' + P(A' uu B')' .