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, then which of the following does not represent the probability that exactly one of A ,B occurs is. (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

Let A and B are two events such that P(exactly one) = 2/5 , P(A uu B)= 1/2 then P(A nn B)=

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)

If A\ a n d\ B are two events associated with a random experiment such that P(A)=0. 5 ,\ \ P(B)=0. 3\ and \ P(AnnB)=0. 2 ,\ find \ P(AuuB)

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.

Let for two events A and B , P(A)=p and P(B)=q . Statement-1 : The probability that exactly one of the event A and B occurs is p+q-2pq Statement-2 : P(AcupB)=P(A)+P(B)-P(AcapB) .

If Aa n dB are two events such that P(A)=0. 5 ,P(B)=0. 6a n dP(AuuB)=0. 8 , find P(A//B)a n dP(B//A)dot

If A and B are two events, then P( A nnB)=?? a.) P( A )P( B ) b.) 1-P(A)-P(B) c.) P(A)+P(B)-P(AuuB) d.) P(B)-P(AnnB)

If A and B are arbitrary events, then a) P(A nn B) ge P(A)+ P(B) (b) P(A uu B) le P(A)+ P(B) (c) P(AnnB)=P(A)+ P(B) (d)None of these