The probabilities of three mutually exclusive events are 2/3, 1/4, and 1/6. Is this statement correct?

If A and B are mutually exclusive events, then

The probabilities of three mutually exclusive events A, B and C are given by (1)/(3) , (1)/(4) and (5)/(12) . Then P(AuuBuuC) is ...............

If (1+3p)/3,(1-p)/1,(1-2p)/2 are the probabilities of 3 mutually exclusive events then find the set of all values of p.

Three persons work independently on a problem. If the respective probabilities that they will solve it are 1/3, 1/4 and 1/5, then find the probability that not can solve it.

If A and B are mutually exclusive events then P(AcapB)= ___.

An event X can take place in conjuction with any one of the mutually exclusive and exhaustive events A ,Ba n dC . If A ,B ,C are equiprobable and the probability of X is 5/12, and the probability of X taking place when A has happened is 3/8, while it is 1/4 when B has taken place, then the probabililty of X taking place in conjuction with C is 5//8 b. 3//8 c. 5//24 d. none of these