Using the Product Rule to Count Possible Outcomes

Using the Product Rule to Count Possible Outcomes

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the product rule, a method for counting possible outcomes of random events. It uses examples like drawing balls from bags, constructing pizzas, and rolling dice to illustrate how multiplying the number of options at each stage gives the total number of possibilities. The tutorial emphasizes understanding and applying the product rule to various scenarios, encouraging viewers to practice with assessments.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the product rule and how is it used to calculate the number of possible outcomes from a random event?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

In the example of drawing balls from bags, how many different numbers can be created using the product rule?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the product rule applies when constructing a pizza with different bases, sauces, and toppings.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How many combinations of rolls are possible when rolling four fair dice?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What changes in the calculation of combinations when the first two rolls of the dice must be lower than four?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the importance of the product rule in counting outcomes of random events.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the key takeaways from the examples provided regarding the product rule?

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