Back to Using Probability to Make Decisions — Problem 4 · Task Set 38

HSS.MD Tutor Intake - Random Variables, Expected Value, and Decisions

This short diagnostic helps your tutor see where to start in the Using-Probability-to-Make-Decisions unit. Every topic here is advanced (STEM-track) material, so a few items assume you have opted into it. Answer each question on your own, without help. If you are unsure, give your best attempt - a wrong answer still tells your tutor what to review.

Grade 11·12 problems·~16 min·Common Core Math - HS Statistics and Probability·domain·md

Work through problems with immediate feedback

Concepts

You want to pick one of three prizes fairly using the numbers 1 to
100 from a random number generator. Which mapping is fair?

Split into 1-33, 34-66, 67-100, giving blocks of 33, 33, 34.

Use only 1-99, splitting into 1-33, 34-66, 67-99, so each prize
has probability $\frac{33}{99} = \frac{1}{3}$ .

Any random number generator is automatically fair, so any split
works.

Give prize 3 the extra number, since one prize must absorb the
remainder.