Part One: Probability

Case Study #1.9

A Pair of Fair Four-Sided Dice

 

Suppose that we have a pair of fair, four-sided dice. Suppose that each trial of the experiment is a throw of the die-pair.

 

Case Objectives:

 

Lay out the possible pairs, and compute probabilities for the pairs.

 

Compute Pr{ Exactly one of the faces in the pair is odd }

Compute Pr{ The sum of the faces is 3 or 8 }

Compute Pr{ The sum is strictly less than 3, or strictly greater than 6 }

 

Confirm these with 100 tosses of a pair of dice.