Unit 8, Lesson 8
Not Always Ideal
Algebra 2
Practice
Problem 1
A regular tetrahedron is a triangular pyramid with 4 equilateral faces. Han has a box of regular tetrahedrons with each of the 4 vertices marked with one of the numbers 1, 2, 3, and 4. He rolls one tetrahedron and makes note of the number on the vertex that points up. After rolling this regular tetrahedron 10 times, he notices that the number 1 appears 5 times.
Han suspects that this tetrahedron is weighted in some way to make 1 appear more often than the other numbers. Using another regular tetrahedron from the box that he has confirmed is fair (all of the numbers tend to be rolled with equal frequency), explain a process Han could use to gather evidence to show whether this tetrahedron is also fair.
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