The Law of Large Numbers

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Objective

I can predict the long-run average outcome of a random event by applying the Law of Large Numbers.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Define the Law of Large Numbers in your own words.

2

Explain how the Law of Large Numbers relates the frequency of an event to its probability.

Part 3 of 3

Exit ticket

Quick comprehension check

You flip a coin 1000 times and get heads 520 times. Based on the Law of Large Numbers, what is your best estimate of the probability of getting tails on a single flip of this coin? A spinner with four sections (red, blue, green, yellow) is spun 500 times. Red comes up 130 times. Based on the Law of Large Numbers, what is your best estimate of the probability of the spinner landing on red? A bag contains an unknown number of marbles of different colors. You draw a marble, note its color, and replace it. After 200 draws, you have drawn a blue marble 60 times. Based on the Law of Large Numbers, what is your best estimate of the probability of drawing a blue marble from the bag?

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

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