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.

Out of 3 n consecutive integers, three are selected at random. Find the probability that their sum is divisible by 3 is

A dice is thrown three times and the sum of the thrown numbers in 15. Find the probability for which number 4 appears in first throw.

Three students appear at an examination of mathematics. The probability of their success are 1/3,1/4,1/5 respectively. Find the probability of success of at least two.

The probability of solving a problem by three A, B and C indepoendently is (1)/(2), (1)/(4) and (1)/(3) respectively. Then the prbability of the problem is solved by any two of them is

Three numbers are chosen at random without replacement from {1, 2, 3, …, 10}. Find the probability that the smallest of the chosen numbers is 3, or the greatest one is 7.

Find the probability that a number selected at random from 3,4,5, . ,25 is a prime number.

The points (3, -2) (-2, 8) and (0, 4) are three points in a plane. Show that these points are collinear.

A problem in mathematics is given to three stdents A,B,C and their respective probability of solving the problem is 1/2,1/3 and 1/4 . Probability that the problem is solved is :