7th Grade Math (Math 7) · Chapter 12 · Lesson 12.6 · Printable PDF

The Law of Large Numbers and the Gambler's Fallacy Worksheet with Answer Key

5 problems on the law of large numbers and the gambler's fallacy: expected counts and gaps, flashcard deck picks, a morning picker app, two games handing out treasure chests, and true or false statements about random digits. 3 pages, with a worked answer key.

5 problems3 pagesanswer key
Printable The law of large numbers and the gambler's fallacy worksheet with answer key - 7th Grade Math (Math 7) (Page 1 PDF preview)
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What's on the worksheet

  1. Find the expected count and the gap between it and the actual count.
    p = 0.2, n = 50, c = 13p = 0.6, n = 300, c = 171p = \dfrac{1}{4}, n = 800, c = 212p = 0.05, n = 2{,}000, c = 93p = \dfrac{1}{8}, n = 4{,}000, c = 530
  2. Reason about which deck a flashcard app picks over many taps.
  3. Reason about a picker app that chooses reading or math each morning.
  4. Compare rare item chances in two video games.
  5. Decide if statements about random digits are true or false.

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