The Monty Hall Problem: Will you switch or stay?

The Monty Hall Problem: Will you switch or stay?

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains the Monty Hall problem, a probability puzzle based on a game show scenario. Participants choose one of three doors, behind one of which is a car and behind the others, goats. The host reveals a goat behind one of the unchosen doors and offers the chance to switch the choice. The tutorial demonstrates that switching doors increases the probability of winning the car from 33% to 67%. The video concludes by recommending always switching doors to maximize the chance of winning.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the outcome if the contestant initially picks door #1 and then switches after a goat is revealed behind door #2.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn from the Monty Hall problem regarding decision-making in uncertain situations?

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