Math puzzle - Rolling dice 6 times

Math puzzle - Rolling dice 6 times

Assessment

Interactive Video

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University

Hard

The video tutorial explores the probability of rolling at least one six in six dice rolls. It challenges the common misconception that rolling a die six times guarantees a six. The instructor explains the mathematical approach to solve this puzzle, emphasizing the probability of not rolling a six and using this to find the desired probability. A chart is used to illustrate the probability distribution and expected value, highlighting that the most likely outcome is rolling one six.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the probability of getting exactly no sixes in six rolls?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the chart showing the probability distribution of getting sixes?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the relationship between the probability of an event and the expected value in the context of rolling a die.

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