Three groups A, B and C are contesting for positions on the Board of Directors of a company. The probability of their winning are 0.5, 0.3 and 0.2, respectively. If the froup A wins, then the probabilityof introducing a new product is 0.7 and the corresponding probabilies for groups B and C are 0.6 and 0.5, respectively. Find the probability that the new product will be introduced.

Two groups are competing for the position on the board of directors of a corporation. The probability that the first and the second groups will win are 0 . 6 and 0 . 4 , respectively. Further, if the first group wins the probability of introducing anew product is 0 . 7 and the corresponding probability is 0 . 3 if the second group wins. Find the probability the the new product introduce was by the second group .

Three person A, B and C fire at a target, inturn starting. with A. Their probability of hitting the target are 0.4,0.3 and 0.2 respectively The probability of two hits is

The probability of two events A and B are 0.25 and 0.40 respectively. The probability that both A and B . occur is 0.15. The probability that neither A nor B occurs is

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is

The probability of happening of an event A is 0.5 and that of B is 0.3 . If A and B are mutually exclusive events, then probability of neither A nor B is

A and B are two candidates seeking admission to IIT. The probability that A is selected is 0.5 and the probability that A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9?

The gold numbers of three protective colloids A, B and Care 0.05, 0.01 and 0.5 respectively. The decreasing order of their protective power is:

Standard reduction potentials of three metals electrodes A,B, and C are 0.34V,-0.40V and -0.47V respectively . Which is the best reducing agent ?

The probability that atleast one of the events A and B occur is 0.6. If A and B occur simultaneously with the probability 0.2 then