Three critics review a book. Odds in favour of the book are 5:2, 4:3 and 3:4 respectively for three critics. Find the probability that eh majority are in favour of the book.

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.

Three coins are tossed once. Find the probability of getting:- 3 tails

A die is thrown 5 times. Find the probability that an odd number will come up exactly three times.

Three coins are tossed once. Find the probability of getting : 3 heads .

Three coins are tossed once. Find the probability of getting:- 3 heads

The odds in favour of an event are 3:4 . Find the probability of : occurrence

The odds against a certain event are 5 to 2, the odds in favour of another event independent of the former are 6 to 5. find the probability that at least one of the events happens.

The probability of A and B achieving a target is 4/5 and 2/3 respectively. If both of them try then find the probability that at least one of them \viii achieve the target.

A problem is given to three students, whose chances of solving it are : 1/4, 1/3 and 1/2 respectively. Find the probability that exactly one of them may solve it.

Three persons A,B and C apply for a job of manager in a private company. Chances of their selection 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 appointment of C.