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 Ma n dN are any two events , teh probability that exactly one of them occur is a. P(M)+P(N)-2P(MnnN) b. P(M)+P(N)-P(MnnN) c. P(M^c)+P(N^c)-2P(M^cnnN^c) d. P(MnnN^c)+P(M^cnnN)

If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1- P(A') P(B').

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

If A, B, C are three events associated with a random experiment, prove that P(A uu B uu C) = P(A) + P(B) + P(C) - P(A nn B) - P(A nn C) P(B nn C) + P (A nn B nn C)

If A and B are events such that P(A|B)= P(B|A), then

P(A)= (5)/(12), P(B)= (7)/(12), P(AnnB)= (1)/(4) Find P(A|B)

The following Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections. Determine (a) P(A) (b) P(B nn barC) (c ) P(A uu B) (d) P(A nn barB) (e) P(B nn C) (f) Probability of the event that exactly one of A, B, and C occurs.

Given P(A)=0.5 P(B)=0.6 and P(AnnB)=0.24 . Find (i) P(A uuB) (ii) P(barA nnB). (iii) P(A nn barB), (iv) P( barA uu bar B), (v) P(barA nn barB)

If A and B are any two events such that P(A) + P(B) -P(A and B) = P(A), then

A and B are two events such that P(A) = 0.54, P(B) = 0.69 and P(A nn B) = 0.35 Find (i) P(A uu B (ii) P(A' nn B') (iii) P(A nn B') (iv) P(B nn A')