Solution:
Consider the following events:
= Student solves the problem
= Student solves the problem
= Student solves the problem
Clearly, are independent events such that
and
Required probability
Required probability =
Required probability =
A problem in Mathematics is given to three students and their respective probability of solving the problem are and . Probability that the problem is solved, is
Consider the following events:
= Student solves the problem
= Student solves the problem
= Student solves the problem
Clearly, are independent events such that
and
Required probability
Required probability =
Required probability =