Home
Class 12
MATHS
The probability that at least one of the...

The probability that at least one of the events `Aa n dB` occurs is 0.6. If `Aa n dB` occur simultaneously with probability 0.2, then find `P( A )+P( B )dot`

Text Solution

Verified by Experts

It is given that `P(A uu B) = 0.6` and `P(A nn B) = 0.2`.
`P(A uu B) = P(A) + P(B) - P(A nn B)`
or `0.6 = P(A) + P(B) - 0.2`
` or P(A) + P(B) = 0.8`
or `1 - P(bar(A)) + 1- P(bar(B))= 0.8`
or `P(barA)+P(bar(B)) = 1.2`
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

The probability that at least one of the events Aa n dB occurs is 0.6. If Aa n dB occur simultaneously with probability 0.2, then find P( barA )+P( bar B )dot

The probability that at least one of the events Aa n dB occurs is 0.6. If Aa n dB occur simultaneously with probability 0.2, then find P( barA )+P( bar B )dot

The probability that at least one of the event A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then find P( A )+P( B ) .

The probability that at least one of the events A and B occurs is 0.6 . If A and B occur simultaneously with probability 0.2 , find P(barA)+P(barB)

The probability that atleast one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then P(barA) + P(barB) is

The probability that atleast one of the events A and B occurs is 0.7. If A and B occurs simultaneously with probability 0.35 then find P(bar(A)) + P(bar(B))

The probability that atleast one of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate P(barA)+P(barB) .

The probability that atleast one of the events A and B occurs is 0.6 If A and B occur simulataneously with probability 0.2, then Poverset(-)((A))+Poverset(-)((B)) is equal to

The probability that at least one of A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, then find the value of P(A^(prime))+P(B^(prime)) .

The Probability that at least one of the events E_(1) and E_(2) will occur is 0.6. If the probability of their occurrence simultaneously is 0.2, then find P(barE_(1))+P(barE_(2))