Wild About Math! Making Math fun and accessible

MMM #24: Rock Band Madness at Blinkdagger

MMM #24 is available now at Blinkdagger. Here's the problem:

The Problem Statement

The five songs that the blinkdagger band (Rob, Zane, Daniel, and Quan) can complete on expert are:

1. Oasis - Wonderwall
2. Dashboard Confessional - Hands Down
3. Bon Jovi - Livin’ on a Prayer
4. Wheezer - Say It Ain’t So
5. Journey - Any Way You Want It

Assume the following:

• The blinkdagger band only has time to play 8 songs before they have to start working on MATLAB tutorials.
• For each of the 8 songs, the blinkdagger band randomly chooses to play a song from the 5 listed above.
• All 5 songs have an equal chance of being picked.

Question: What is the % chance that the band will have played all five songs after their session ends?

Go to Blinkdagger for the contest rules and submission instructions.