An event X can take place in conjuction with any one of the matually exclusive and exhaustive events A,B and C. If A,B C are equiprobable and the progbability 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 probability of X taking place in conjuction with C is

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

The probabilities of three mutually exclusive events A, B and C are given by 2/3,1/4 and 1/6 respectively. The statement. a. is true b. is false c. nothing can be said d. could be either

Which of the following cannot be the probability of an event? 1/3 (b) 3/5 (c) 5/3 (d) 1

Three persons A, B and C apply for a job of Manager in a Private Company. Chances of their selection (A, B and C) are in the ratio 1 : 2 : 4. The probabilities that A, B and C can introduce changes to improve profits of the company are 0.8, 0.5 and 0.3 respectively. If the change does not take place, find the probability that it is due to the appointment of C.

For A, B and C the chances of being selected as the manager of a firm are in the ratio 4:1:2 respectively. The respective probabilities fro them to introduce a radical change in marketing strategy are 0.3, 0.8, and 0.5. if the change does take place, find the probability that it is due to the appointment of B or C.

A homogenous catalytic reaction takes place through the three alternative plots A, B, and C shown in the given figure. Which one of the following indicates the relative ease with which the reaction cant take place?

There are three events A, B, and C, one of which one and only one can happen. The odds are 7 to 4 against A and 3 to 5 favour of B. Find the odds against C.

A person write 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is a. 1/4 b. 11/24 c. 15/24 d. 23/24

A person write 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is a. 1/4 b. 11/24 c. 15/24 d. 23/24

The value of C for which P(X=k)=Ck^2 can serve as the probability function of a random varibale X that takes value 0,1,2,3,4, is