Home
Class 12
MATHS
If P(AuuB)=3//4a n dP( A )=2//3 , then ...

If `P(AuuB)=3//4a n dP( A )=2//3` , then find the value of `P( A nnB)dot`

Text Solution

Verified by Experts

Since `bar(A) nn B` and A are mutually exclusive events such that `A uu B = (barAnn B) uu A`
implies `P(A uu B) = P(barA nn B) + P(A)`
or `(3)/(4) = P(barA nn B) + 1 - (2)/(3)`
or `P(barA nn B) = (5)/(12)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE ENGLISH|Exercise Solved Example|9 Videos
  • PROBABILITY I

    CENGAGE ENGLISH|Exercise Exercise 9.1|6 Videos
  • PROBABILITY

    CENGAGE ENGLISH|Exercise Comprehension|2 Videos
  • PROBABILITY II

    CENGAGE ENGLISH|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

Similar Questions

Explore conceptually related problems

If P(AuuB)=3//4 and P( barA )=2//3 , then find the value of P( barA nnB)dot

If A and B are events such that P(A'uuB') = (3)/(4), P(A'nnB') = (1)/(4) and P(A) = (1)/(3) , then find the value of P(A' nn B)

If two events Aa n dB are such that P(A^c)=0. 3 ,P(B)=0. 4 ,a n dP(AnnB^c)=0. 5 , then find the value of P[B//(AuuB^c)]dot

(i) A and B are two events in a random experiment such that P(AuuB)=0.7, P(AnnB)=0.3 and P(barA)=0.4 , find P(barB) (ii) If P(A)=2/3P(B)=4/9 and P(AnnB)=14/45 , then find the value of P(AuuB) and P(A'nnB')

If A and B are two events such that P(A)=1/2, P(AuuB)=3/5 and P(B)=p , then find the value of p when: (i) A and B are mutually exclusive (ii) A and B are independent events.

If A and B are events of a random experiment such that P(AnnB)=4/5P(A'nnB')=7/10 and P(B)=2/5 , then find the value of P(A).

A and B are two mutually exclusive events of an experiment. If P(A)=0. 35 ,P(AuuB)=0. 65a n dP(B)=p , find the value of pdot

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