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

Given : let A , B and C be three students whose chances of solving a problem is given i.e , P(A) = , P(B) = and P(C) = .

P() = , P() = and P()=

To Find: The probability that the problem is solved .

Here , P(the problem is solved) = 1 - P(the problem is not solved)

= 1- P( )

= 1 – [P( ) P( ) P( )]

= 1- []

= 1 -

=

Therefore , The probability that the problem is solved is .