Two Dice Challenge

Imagine you have a pair of dice in a shaker. You invite a friend to give it a shake and secretly observe the results. When you inquire, 'Is there at least one die showing a two?' he responds affirmatively. What is the likelihood that both dice actually show twos?

In this video, a contestant takes on my challenge to wager at odds of 8 to 1 for rolling two twos, contingent upon seeing at least one two. Tune in to find out who emerges victorious after more than 300 rolls of the dice.

Links

Here are three discussions that have taken place over the last nine years on the Wizard of Vegas forum regarding this intriguing problem.

• Part 1
• Part 2
• Part 3

Written by: Michael Shackleford