MathDB

Andy creates a 3 sided dice with a side labeled

7

, a side labeled

17

, and a side labeled

27

. He then asks Anthony to roll the dice

3

times. The probability that the product of Anthony's rolls is greater than

2023

can be expressed in the form

\frac{m}{n}

where

m

and

n

are relatively prime positive integers. Find

m+n

.
Proposed by Andy Xu

Problem Statement