Probability
# Discrete Probability

A fair 6-sided die is rolled twice. The probability that the second roll is strictly less than the first roll can be written as $\frac{a}{b}$, where $a$ and $b$ are positive, coprime integers. What is the value of $a+b$?

**Details and assumptions**

The **roll of a dice** refers to the value on the top face of the dice.

**same result** can be expressed as $\frac{a}{b}$ where $a$ and $b$ are coprime positive integers. What is the value of $a + b$?