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Understanding the Monty Hall Problem

Understanding the Monty Hall Problem

Assessment

Interactive Video

Mathematics, Science

7th - 12th Grade

Practice Problem

Hard

CCSS
HSS.MD.B.6, HSS.MD.B.7

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSS.MD.B.6
,
CCSS.HSS.MD.B.7
The video explains the Monty Hall problem, a probability puzzle based on a game show scenario. Initially, a contestant picks one of three doors, behind one of which is a prize. After one non-chosen door is revealed to have no prize, the contestant can choose to switch doors. The video demonstrates that switching doors increases the chance of winning from 33.3% to 66.7%. This concept is further illustrated with a ten-door scenario, where switching increases the chance of winning to 90%. The video also clarifies that if a door is revealed before the initial choice, the probability remains 50%.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the Monty Hall problem?

To choose the door with the highest number

To maximize the probability of winning a prize

To avoid picking a door with a goat

To win a car by picking the correct door

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Monty Hall problem, what is the probability of the prize being behind the initially chosen door?

2/3 or 66.7%

1/2 or 50%

1/4 or 25%

1/3 or 33.3%

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it beneficial to switch doors in the Monty Hall problem?

Switching decreases the chance of winning

Switching has no effect on the probability

Switching guarantees a win

Switching increases the chance of winning to 2/3

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Monty Hall problem, what happens if you stick with your initial choice?

You have a 1/2 chance of winning

You have a 1/3 chance of winning

You have a 2/3 chance of winning

You are guaranteed to lose

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the extended Monty Hall problem with ten doors, what is the probability of the prize being behind the initially chosen door?

1/2 or 50%

1/5 or 20%

9/10 or 90%

1/10 or 10%

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the probability of winning if you switch doors in the ten-door version of the Monty Hall problem?

1/2 or 50%

9/10 or 90%

1/3 or 33.3%

1/10 or 10%

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many doors are opened to reveal zero dollars in the ten-door version before you make a decision to switch?

One door

Two doors

Nine doors

Eight doors

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