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 
.
1