A problem in mathematics is given to 3 students whose chances of solving it are `1/4; 1/5; 1/3`. What is the probability that the problem is solved?

Explanation

Suppose `P(A)=frac{1}{4}, P(overline{{A}})=1-frac{1}{4}=frac{3}{4}`



`P(B)=frac{1}{5}, P(bar{B})=1-frac{1}{5}=frac{4}{5} `

`
P(C)=frac{1}{3}, P(bar{C})=1-frac{1}{3}=frac{2}{3}`



Probability of (problem is solved)

`

=1-P(bar{A}) cdot P(bar{B}) cdot P(bar{C})`

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