# How fast will this become popular?

**Discrete Mathematics**Level 4

Suppose the probability that this problem will become popular half an hour after posting it is \(\dfrac{13682}{16807}\). Assume that the probability this problem will become popular at any given time within this half hour remains the same. Then, the probability that this problem will become popular 6 minutes after posting it equals \(\dfrac{a}{b}\), where \(a, b\) are relatively prime positive integers. Find \(a + b\).