## Reflection: Problem-based Approaches The Mastermind Project, Day 1: How to Play - Section 1: Opening Problems: Simple Probability

For the record: If you have six different colors to choose from, the probability of guessing them on your first try is...

• 1/15 if there are no repeats allowed and the order doesn't matter (ie "Red and Yellow" is the same thing as "Yellow and Red")
• 1/21 if repeats are allowed, but the order still doesn't matter
• 1/30 if there are no repeats and order matters (ie "Red and Blue" is different from "Blue and Red")
• 1/36 if repeats are allowed and order matters; this is like rolling two dice

For the Record
Problem-based Approaches: For the Record

# The Mastermind Project, Day 1: How to Play

Unit 1: Statistics: Data in One Variable
Lesson 2 of 11

## Big Idea: Is it possible to measure perseverance in problem solving? And how can we use data to show if we've made sense of something? We begin to explore these questions as the Mastermind Project begins.

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### James Dunseith

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