Three ships A, B, C sail from England to India. Odds in favour of their arriving safely are `2:5, 3:7, 6:1` respectively. Find the chance that they will arrive safely.

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 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.

A problem is given to three students, whose chances of solving it are : 1/3, 1/5 and 1/6 respectively. Find the probability than exactly one of them may solve it.

A problem is given to three students whose chances of solving it are 1/4, 1/5 and 1/6 respectively. What is the probability that the problem will be solved?

A problem is given to three students, whose chances of solving it are : 1/3, 1/2 and 1/5 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.

A decimal numeral from (0,1,2,3,4,5,6,7,8,9) is selected at random. Find the chance it is a prime number.

For three persons A, B and C the chances of being selected as Manager of a firm are in the ratio 4:1:2 respectively. The respective probabilities for 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.

The centroid of a triangle ABC is at the point (1,1,1). If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively, find the coordinats of the point C.