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 probabilities 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 a new product is 0.7 and the corresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group.

Three persons A,B and C fire at a target in turn, starting with A. their probabilities of hitting the target are 0.4, 0.3 and 0.2 respectively. The probability of two hits is

In a given race, the odds in favour of horses A, B, C, D are 1:3, 1:4, 1:5 and 1:6 respectively. Find the probability that one of the them wins the race.

The probability that a student will receive an A, B, C or D grade is 0.40, 0.35, 0.15 and 0.10 respectively. Find the probability that a student will receive : not an A grade.

In the fig. triangle PQO with coordinates of P and O as (3,0) and (0,0) respectively, PQ=5. Find the coordinates of Q.

The probability that a student will receive an A, B, C or D grade is 0.40, 0.35, 0.15 and 0.10 respectively. Find the probability that a student will receive : B or C grade.

The probability that a student will receive an A, B, C or D grade is 0.40, 0.35, 0.15 and 0.10 respectively. Find the probability that a student will receive : at most a C grade.

You are given three solutions A,B and C. the pH values of the solutions are 4.5, 7.0 and 10.0 respectively? Which of these is acidic?

You are given three solutions A,B and C. the pH values of the solutions are 4.5, 7.0 and 10.0 respectively? Which of these is basic?