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)`

Show that the probability that exactly one of the events A and B occurs is P(A) + P(B) - 2P(AB).

Show that the probability that exaclty one of the events A and B occurs is P(A) + P(B) - 2P(AB).

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 A and B are 2 event with probability P(A) and P(B), then find the probability that exactly one of them occur.

If A and B are two events, then which of the following dies not represent the probability of at most one of A ,B occurs. (a) P(A) + P(B) - P(A nn B) (b) P(A nn B') + P(A' nn B) (c) P(A') + P(B') - 2P(A' nn B') (d) P(A) + P(B) -2 P(A nn 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(A'nnB')dot

For two independent events A and B with P(A)=0.5, P(B^C)=0.3 , find the probability of exactly one of them will occur.

If Aa n dB are two independent events such that P(A)=1//2 a n d P(B)=1//5, then

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.

For any three events A, B and C, prove that. P(A cup B cup C) = P(A) + P(B) + P( C)-P(Acap B) -P(BcapC) - P(CcapA) + P(Acap B cap C).