Home
Class 11
MATHS
For any two events A and B ; Prove that ...

For any two events A and B ; Prove that exactly one of the A; B occurs is given by `P(A)+P(B)-2P(AuuB)=P(AuuB)-P(AnnB)`

Promotional Banner

Similar Questions

Explore conceptually related problems

For any two events A and B; Prove that exactly one of the A; B occurs is given by P(A)+P(B)-2P(A uu B)=P(A uu B)-P(A nn B)

If Aa n dB are two events, the probability that exactly one of them occurs is given by P(A)+P(B)-2P(AnnB) P(Ann B )+P( A nnB) P(AuuB)-P(AnnB) P( A )+P( B )-2P( A nn B )

If A and B are two events, the probability that exactly one of them occurs is given by a. P(A)+P(B)-2P(AnnB) b. P(Ann B )+P( AnnB') c. P(AuuB)-P(AnnB) d. P( A' )+P( B' )-2P( A' nn B' )

If Aa n dB are two events, the probability that exactly one of them occurs is given by a. P(A)+P(B)-2P(AnnB) b. P(Ann B )+P( A nnB) c. P(AuuB)-P(AnnB) d. P( A )+P( B )-2P( A nn B )

If A and B are two events then show that (i) (P(AnnB^(c)))=P(A)-P(AnnB) (ii) The probability that exactly one of them occurs is given by P(A)+P(B)-2P(AnnB)

For any two events A and B associated to a random experiment, prove that: P(A)=P(AnnB)+P(AnnbarB) , P(B)=P(AnnB)+P( barAnnB) , P(AuuB)=P(AnnB)+(AnnbarB)+P(barAnnB)

Aa n dB are two independent events. C is event in which exactly one of AorB occurs. Prove that P(C)geqP(AuuB)P(AnnB)dot

Aa n dB are two independent events. C is event in which exactly one of AorB occurs. Prove that P(C)geqP(AuuB)P(A'nnB')dot

Aa n dB are two independent events. C is event in which exactly one of AorB occurs. Prove that P(C)geqP(AuuB)P(A'nnB')dot

Aa n dB are two independent events. C is event in which exactly one of AorB occurs. Prove that P(C)geqP(AuuB)P(AnnB)dot