Probability Concepts and Thought Experiments

Probability Concepts and Thought Experiments

Assessment

Interactive Video

Mathematics, Philosophy

10th Grade - University

Hard

Created by

Emma Peterson

Used 1+ times

FREE Resource

The video explores the Sleeping Beauty problem, a controversial topic in math and philosophy. It presents two main positions: the Halfer position, which argues the probability of heads is 1/2, and the Thirder position, which argues it's 1/3. The video discusses the implications of these positions, including philosophical thought experiments and the idea of living in a simulation. It concludes with a sponsor message from Brilliant, promoting their probability courses.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main question posed to Sleeping Beauty in the experiment?

How many times have you been awakened?

What is the probability that the coin came up heads?

What day is it today?

What is the probability that the coin came up tails?

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the Halfer position, what is the probability that the coin came up heads?

One-third

Two-thirds

One-half

One-fourth

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the Thirder position suggest about the probability of heads?

It is zero because the coin is biased.

It is one-third because there are three possible states.

It is one-half because the coin is fair.

It is two-thirds because of the multiple awakenings.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Monty Hall problem analogy, why is it incorrect to assign 50/50 odds to the two doors?

Because the contestant has no information about the doors.

Because the prize is twice as likely to be behind one door.

Because there are three doors initially.

Because the host always reveals a goat.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main argument of the simulation hypothesis related to the Sleeping Beauty problem?

The universe is a single, unique entity.

Simulations cannot be created realistically.

There are more simulated realities than the true reality.

We are definitely living in a simulation.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the soccer game analogy, why might someone choose Brazil as the winner?

Because Canada is more likely to win.

Because the game is rigged.

Because Brazil has a higher probability of winning.

Because Brazil is the underdog.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the core dispute between Halfers and Thirders in the Sleeping Beauty problem?

Whether the coin is fair or not.

Whether to prioritize being right about the coin toss or answering more questions correctly.

Whether Sleeping Beauty remembers her awakenings.

Whether the experiment is ethical.

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