# 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

×