A problem in mathematics is given to 3 students whose chance of solving it are 1/2, 1/3, 1/4. What is the probability that the problem is solved?
Let A, B, C be the respective events of solving the problem. Then,
P(A) = 1/2, P(B) = 1/3 and P(C) = 1/4.
Clearly, A, B, C are independent event and the problem is solved if at least one student solves it.
∴ Required probability =
