If `Ma n dN` are any two events , the 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 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 )

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.

If A and B are any two events such that P(A) + P(B) - P(A a n d B) = P(A) ? then(A) P(B | A) = 1 (B) P(A | B) = 1 (C) P(B | A) = 0 (D) P(A | B) = 0

If C and D are two events such that CsubD""a n d""P(D)!=0 , then the correct statement among the following is : (1) P(C|D)""=""P(C) (2) P(C|D)geqP(C) (3) P(C|D)""<""P(C) (4) P(C|D)""=""P(D)//(P(C)

If in an A.P, S_n=n^2p and S_m=m^2p , then prove that S_p is equal to p^3

If A and B are two events, then P(A) + P(B) = 2P(AnnB) if and only if A. P(A)+P(B)=1 B. P(A)=P(B) C. P(A)=P(B) D. None of these

If A,B and C are three independent events such that P(A)=P(B)=P(C )=p, then P (atleast two of A,B and C occur)= 3p^(2)-2p^(3)

If A and B are independent events such that P(A)=p ,\ P(B)=2p\ a n d\ P (Exactly one of A and B occurs ) =5/9 , find the value of pdot

If n(P) = n(M), then P → M.

If A, B, and C are independent events such that P(A)=P(B)=P(C)=p , then find the probability of occurrence of at least two of A, B, and C.