# unfair die?

**Discrete Mathematics**Level 2

A die is unfair(biased) to throw(flip) it so that the probability of getting a number is proportional to that number, i.e., \(\frac {P(1)}{1} = \frac {P(2)}{2} = ... = \frac {P(6)}{6}\). If the probability to obtain an even number when throwing the die can be written as \(\frac {m}{n}\) where m,n are co-prime positive integers.

Find m + n