Understanding Randomness and the Gambler's Fallacy

Understanding Randomness and the Gambler's Fallacy

Assessment

Interactive Video

Mathematics, Science

9th - 12th Grade

Hard

Created by

Lucas Foster

FREE Resource

The video explores the concept of randomness through a coin flip exercise, highlighting the Gambler's Fallacy and how people often misinterpret randomness as being evenly mixed. The speaker demonstrates how predictable patterns emerge when people attempt to create random sequences, emphasizing that true randomness includes streaks and is not easily predictable. The video concludes with a discussion on permutations and a sponsor message.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What task is the participant asked to perform at the beginning of the video?

Predict the outcome of a dice roll

Write down a sequence of numbers

Mentally flip a coin 20 times

Flip a real coin 20 times

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main purpose of the coin-flipping exercise?

To win money from the participant

To demonstrate the concept of randomness

To test the participant's luck

To teach coin-flipping techniques

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

During the betting game, what pattern does the participant's sequence show?

Mostly tails

Alternating heads and tails

Long streaks of heads

Completely random

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What fallacy is demonstrated through the participant's coin-flipping sequence?

Gambler's Fallacy

Anchoring bias

Confirmation bias

Sunk cost fallacy

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the video, what is a common misconception about randomness?

Randomness is always mixed up

Randomness is always evenly distributed

Randomness follows a pattern

Randomness is predictable

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many permutations of 20 coin flips have a maximum streak of three heads or tails?

1,048,576

242,830

100,000

478,520

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What percentage of all permutations have a maximum streak of three heads or tails?

50%

23.2%

75%

10%

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