You are given two N-sided dice, P and Q, where each die has N integer values (not necessarily unique or standard).

When rolled, each side is equally likely to appear.

Given the values on each side of dice P and Q, determine:

The number of outcomes where P's roll is greater than Q's roll (i.e., P wins).

Follow up 1: The number of outcomes where Q wins.

Follow up 2: The number of outcomes where both rolls are equal (tie).

Example: (N=3)

P = [1, 2, 4]
Q = [2, 2, 5]


Edit 1: Forgot to add that P and Q are always in non-decreasing sorted order. 
^ This information was not provided, I had to ask clarifying questions to get it.
So if you start coding without asking this, you probably end up with a non-optimal solution.