10-3 Theoretical Probability

10-3 Theoretical Probability

4/13/21

​Objective: Students will find the theoretical probability of a simple event.

Review Questions

Math Response

Janelle and some friends went out to dinner. The cost of the meal was $68.50. They left a 20% tip. What was the total cost of the dinner, including the tip?  

Type answer here

Correct Answer: 82.20

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Math Response

The circle graph shows the results of a survey about

favorite kinds of books. If 600 people were surveyed, how many more people prefer comedy books than fantasy books?

Type answer here

Correct Answer: 102

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Math Response

A volunteer organization randomly surveys 40 volunteers about their shirt color preference. The graph shows the results of the survey. Predict how many volunteers will want a black shirt if the organization has 350 volunteers.

Type answer here

Correct Answer: 98

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Math Response

A mayor wants to know how many people in her town drive certain types of vehicles. She records 50 types of vehicles as they pass the busiest intersection in town.

The table shows the results. How many electric vehicles can the mayor expect out of 4,000 vehicles in the town?

Type answer here

Correct Answer: 640

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Today's Lesson:
Theoretical Proabability

​Probability - the likelihood that something will occur.

Math 7 | Probability

Open Ended

You do:

A number cube, with sides labeled 1-6, is rolled. Determine the

theoretical probability of rolling a number less than 6.

Write your answer as a fraction in lowest terms.

Open Ended

You do

Ten discs are marked 1 through 10, so each disc is marked with exactly one of the numbers. A disc is selected from the bag at random.

Determine the theoretical probability of selecting a number greater than 6.

Write your answer as a percent.

Open Ended

What is the probability of landing on the color blue on the spinner?

Your answer should be a simplified fraction.

Math Response

A six-sided die is rolled once.  What is the probability of rolling a 5? Your answer should be a fraction in simplest form.

Type answer here

Correct Answer: \frac{1}{6}

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Math Response

A die is rolled once.  What is the probability of rolling a prime number? Your answer should be a fraction in simplest form.

Hint: A prime number is only divisible by one and itself.

Type answer here

Correct Answer: \frac{2}{3}

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Math Response

What is the probability of the spinner landing on red?

Write your answer as a fraction in simplest form.

Type answer here

Correct Answer: \frac{5}{12}

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Multiple Choice

A die is rolled once.  What is the probability of rolling an even number?

Your answer should be a fraction in simplest form.

• 3/6

• 1/2

• 3/5

• 5/6

Multiple Choice

Which color marble is least likely to be pulled from the jar?

• Green 

• Red

• Blue

Math Response

A die is rolled once.  What is the probability of rolling a number less than 6? Your answer should be a fraction in simplest form.

Type answer here

Correct Answer: \frac{5}{6}

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Math Response

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

Type answer here

Correct Answer: \frac{3}{10}

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Math Response

There is 4 blue marbles, 6 red marbles, 2 yellow marbles and 1 white marble in the bag. What is the probability of randomly choosing a yellow marble?

Type answer here

Correct Answer: \frac{2}{13}

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Math Response

What is the probability of the spinner not landing on blue? Write your answer in simplest form.

Type answer here

Correct Answer: \frac{3}{4}

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Math Response

There is 4 blue marbles, 6 red marbles, 2 yellow marbles and 1 white marble in the bag. What is the probability of randomly choosing a purple marble?

Type answer here

Correct Answer: 0

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Multiple Choice

Which color marble is most likely to be pulled from the jar?

• Green 

• Red

• Blue