Simple math problems

A problem in Mathematics is given to two students A, B and their chances of solving the problem are 2/3, 3/4 respectively. The probability that exactly one of them solves the problem is

River Boat Problem

Simple machines

Probability of solving specific problem independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem.

Probabilities of solving a specific problem in dependently by A and B are 1/2a n d1/3 respectively. If both try to solve the problem independently find the probability that : The problem is solved Exactly one of them solves the problem.

The probability that A can solve a problem is 2//3 and B can solve it is 3//4 . If both attempt the problem, what is the probability that the problem gets solved ?

A computer solved several problems in succession. The time it took to solve each successive problem was the same number of times smaller than the time it took to solve the preceding problem. How many problems were suggested to the computer if it spent 63.5 min to solve all the problems except for the first, 127 min to solve all the problems except for the last one, and 31.5 min to solve all the problems except for the first two?

The probabilities of A , B and C solving a problem independently are respectively (1)/(4) , (1)/(5) , (1)/(6) . If 21 such problems are given to A , B and C then the probability that at least 11 problems can be solved by them is

Given the probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/5. Find the probability that none of the two will be able to solve the problem.