Probability Review #1

Probability revew

Hello MY Dears!
I miss you guys a ton!

Your math test is still going to be on Monday.

This review is set up to help you review and practice the skills that you will be tested on.
Read the slides. Do the practice questions.
I will be taking it as a review grade.
You will get another review tomorrow.

When making a tree diagram -- make sure that all of the different options are shown.

This diagram shows all the outcomes from choosing 1 of 3 ice cream flavors and then choosing 1 of 2 toppings.

Tree Diagrams

Multiple Choice

Colby and Gloria draw the tree diagrams shown to represent all the possible outcomes of tossing a coin and rolling a six-sided number cube simultaneously.

Who drew the tree diagram correctly?

• both Colby and Gloria

• Neither Colby nor Gloria

• Only Colby

• Only Glora

If there are 3 ice cream flavors and 2 toppings, we can also find the total number of outcomes by multiplying.


3 * 2 = 6 possible outcomes

​This is known as the Fundamental Counting Principle.

pages 11 & 12 in your big HW packet.
...hint...hint...

Multiple Choice

Abdul is getting dressed for school and has a red, black, and green shirt. He has a pair of blue-jean pants and a pair of tan pants.

Which number sentence shows how to find the total number of combinations of shirts and pants Abdul can wear to school?

• $$2+3=5$$

• $$2\cdot3=6$$

• $$2+3+2+3=10$$

• $$2\cdot3\cdot2\cdot3=36$$

Math Response

How many total outcomes are possible if you are to choose one from each:

1) cone or cup

2) vanilla or chocolate

3) sprinkles, nuts, or strawberries

Type answer here

Correct Answer: 12

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The sample space for this tree diagram:

S = {VN, VS, SN, SS, CN, CS}

Tree Diagrams

Multiple Choice

A 6-sided number cube has 1 of the numbers from 1 to 6 written on each face. Which of the following represents the sample space?

• {1, 2, 3}

• {1, 2, 3, 1, 2, 3}

• {1, 2, 3, 4, 5, 6}

• {6, 6, 6, 6, 6, 6}

Tree Diagrams

Math Response

What is the probability of choosing chocolate ice cream in a cup with sprinkles?

Type your answer as a simplified fraction.

Type answer here

Correct Answer: \frac{1}{12}

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The spinner has one section of each:
​pink, green, blue, yellow, orange

The spinner has one section of each:
​pink, green, blue, yellow, orange

The spinner has one section of each:
​pink, green, blue, yellow, orange

Math Response

What is the probability of the spinner landing on an even number and then landing on yellow?

Type your answer as a simplified fraction.

The spinner has one section of each:
red, yellow, green, orange, blue, purple

Type answer here

Correct Answer: \frac{1}{12}

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Math Response

What is the probability of the spinner landing on 7 and then landing on blue?

Type your answer as a simplified fraction.

The spinner has one section of each:
red, yellow, green, orange, blue, purple

Type answer here

Correct Answer: 0

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Probability & Predictions

If you are needing to make a prediction, set up a proportion.

​The first half of the proportion is the probability we know.

The second half of the proportion is what we are trying to predict.

Probability & Predictions

​The first half of the proportion is the probability we know.

The second half of the proportion is what we are trying to predict.

​If a die numbered 1-6 is rolled 540 times, how many times should we expect to roll a 5?

Probability & Predictions

​The first half of the proportion is the probability we know.

The second half of the proportion is what we are trying to predict.

​If a die numbered 1-6 is rolled 540 times, how many times should we expect to roll a 5?

We KNOW the probability of rolling a 5 is 1 out of 6.

Probability & Predictions

​The first half of the proportion is the probability we know.

The second half of the proportion is what we are trying to predict.

​If a die numbered 1-6 is rolled 540 times, how many times should we expect to roll a 5?

We KNOW the probability of rolling a 5 is 1 out of 6.
We want to PREDICT how many times it will happen out of 540.

Probability & Predictions

​If a die numbered 1-6 is rolled 540 times, how many times should we expect to roll a 5?

We KNOW the probability of rolling a 5 is 1 out of 6.
We want to PREDICT how many times it will happen out of 540.

Math Response

If this spinner was spun 180 times, how many times would you expect it to land on blue?

Hint -- set up a proportional and cross multiply.

The spinner is divided as:

yellow, red, blue, green, red, blue

Type answer here

Correct Answer: 60

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Math Response

Bailey was practicing her serve. She made 6 serves over the net and 2 serves missed and hit the net. If she practices 30 more serves, how many can she expect to miss?

Type answer here

Correct Answer: 10

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Multiple Choice

What is the likelihood of selecting the white ball?

(7 yellow, 7 red, 1 white, 1 black)

• impossible

• unlikely

• equally likely

• likely

• certain

Likelihood

Math Response

What is the probability of the coin landing heads up, the spinner landing on green, and rolling a 4 on the die?

Type your answer has a simplified fraction.

The spinner is divided as:

yellow, red, blue, green

Type answer here

Correct Answer: \frac{1}{48}

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Multiple Choice

What is the likelihood of selecting a red ball?

(7 yellow, 7 red, 1 white, 1 black)

• impossible

• unlikely

• equally likely

• likely

• certain

Multiple Choice

What is the likelihood of selecting a red or yellow ball?

(7 yellow, 7 red, 1 white, 1 black)

• impossible

• unlikely

• equally likely

• likely

• certain

Math Response

If you are going to choose an outfit from 3 pairs of shorts, 3 shirts, and 2 pairs of shoes, how many outfits could you create?

Type answer here

Correct Answer: 18

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Math Response

What is the probability of selecting a red ball and then selecting the white ball?

(7 yellow, 7 red, 1 white, 1 black)

Assume that the balls are put back in before the next selection.

Type your answer as a simplified fraction.

Type answer here

Correct Answer: \frac{7}{256}

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Math Response

What is the probability of rolling the die 3 times and landing on an even number each time?

Hint:

P(even) * P(even) * P(even)

Type your answer as a simplified fraction.

Type answer here

Correct Answer: \frac{1}{8}

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Math Response

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

Write your answer as a simplified fraction.

The spinner is divided as:

yellow, red, blue, green, red, blue

Type answer here

Correct Answer: \frac{1}{3}

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Multiple Choice

A class contains 12 boys and 14 girls. The teacher calls on a student at random to go to the board. The probability that it is a girl is $$\frac{7}{13}$$ .

• TRUE

• FALSE

Multiple Choice

Hernando placed 5 green crayons, 6 blue crayons, and 9 yellow crayons in a container. He will reach in and

pull one out without looking. What is the probability that the crayon he chooses will be green?

• 0.20

• 0.25

• 0.30

• 0.33

Math Response

How many outcomes will there be if you flip a coin twice and roll a standard die (1-6) twice?

Type answer here

Correct Answer: 144

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Multiple Select

Which of the following can represent a probability?

Select all that apply.

Hint: Remember the probability scale and what probability must fall between.

• $$\frac{8}{5}$$

• $$\frac{1}{2}$$

• $$\frac{6}{7}$$

• $$\frac{4}{12}$$

• $$-1$$

Categorize

Options (9)

Rolling a die and landing on a number greater than 6

There is an 80% chance of rain next week

Rolling a die and landing on an odd number

Winning the lottery

Flipping a coin and landing heads up

Flipping a coin three times and landing tails up each time

Rolling a die twice and landing on a number less than 6 each time

Rolling a die twice and landing on an even number each time

Picking a student in class and choosing either a girl or a boy

Organize these situations by their likelihood.

Certain or Impossible

Likely

Equally Likely

Unlikely

Multiple Choice

The yearbook club is handing out T-shirts to its members. There are 4 blue, 8 green, 7 red, and 6 yellow T-shirts in all. If Jacob is handed a T-shirt, what is the probability that it is NOT yellow?

• $$\frac{4}{25}$$

• $$\frac{19}{25}$$

• $$\frac{6}{25}$$

• $$\frac{13}{25}$$

Math Response

To play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped. What is the probability of flipping a head AND rolling either a 3, 4, or 5?

Write your answer as a percent.

Do NOT type a percent sign.

Type answer here

Correct Answer: 25

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