Probability Recap

Probability Recap

Advanced Algebra

​

Probability of Simple Events

Example 1: A die with sides labeled 1-6 is rolled, find the probability of rolling a 6

• P(6) as a ratio =

​wanted

total​

​O

Example 2: Find the probability of rolling a 2, 3, or 4 on a number cube.

• wanted/total

• number cube has 6 possible outcomes; 1, 2, 3, 4, 5, 6

• we want the P(2, 3, or 4) which are three of the six possible outcomes

​O

​O

​O

Multiple Choice

The letters that form the word ALGEBRA are placed in a bowl.

What is the probability of choosing a letter that is NOT “A”?

• $$\frac{2}{7}$$  

• $$\frac{5}{49}$$  

• $$\frac{5}{7}$$  

• $$\frac{10}{49}$$  

Multiple Choice

What is the probability of spinning an EVEN number? 

• 16 $$\frac{2}{3}$$  %

• 33 $$\frac{1}{3}$$  %

• 50%

• 75%

Multiple Choice

What is the probability of selecting a brown M&M from this bowl?

4 yellow, 6 orange, 2 brown, 3 green, 5 blue

• $$\frac{2}{18}$$
  

• $$\frac{1}{9}$$

• $$\frac{2}{20}$$

• $$\frac{1}{10}$$

Multiple Choice

You pick a marble from this bag.

What is the probability you will choose either a black or white marble?

• 3/5

• 9/100

• 1/10

• 2/5

Conditional Probability (And/Or Probability)

Multiple Choice

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)

• 1/36
• 2/39
• 5/41
• 6/43

Multiple Choice

A die is rolled. What is the probability of rolling a 1 or a number greater than 3? (Reduce the fraction!)

• 2/3

• 1/2

• 5/6

• 1

• None of the above

Multiple Choice

Lucy has the spinner pictured and spins it. What is the probability that she lands on blue or on yellow? Simplify.

• 1 / 16

• 1 ⁄ 2

• 1 ⁄ 8

• 3 ⁄ 4

Multiple Choice

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Marbles are taken one at a time without replacement. P(both marbles are purple)

• 2/9

• 1/3

• 1/2

• 1/4

Conditional Probability
(Given Probability)

Multiple Choice

What is the probability that a student does play a sport given they do not play an instrument?

• .78

• .22

• .10

• .5

Multiple Choice

P(Pizza | Senior):

• 10/15

• 4/5

• 2/3

• 10/5

Multiple Choice

A number is selected, at random, from the set {1, 2, 3, 4, 5, 6, 7, 8}.

Find P(odd given less than 7).

• 1/2

• 3/8

• 4/7

• 1/4

Two Way Frequency Tables

Multiple Choice

The table shows the different types of engineers and the subject they liked most. What percentage of people surveyed were chemical engineers who preferred math?

• 16.5%

• 33.1%

• 17.6%

• 15.5%

Multiple Choice

Out of the males surveyed, what percentage drive sports car?

• 35%
• 16.25%
• 65%
• 25%

Multiple Choice

What is the probability you choose a child that likes Vanilla?

• .239
• .082
• .314
• .286

Multiple Choice

What is the probability you select a person who would pick chocolate?

• .398
• .342
• .26
• .686

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

1) What is the probability a randomly selected student got an A or B for the semester?

• 15/100

• 20/100

• 35/100

• 65/100

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

2) What is the probability a randomly selected student is male?

• 12/100

• 17/100

• 44/100

• 56/100

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

3) What is the probability a randomly selected student earned a passing grade?

• 20/100

• 35/100

• 65/100

• 87/100

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

4) Given that the grade is an A, what is the probability of the student being female?

• 8/20

• 12/20

• 8/44

• 12/56

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

5) Given that the grade is a B, what is the probability of the student being male?

• 6/15

• 9/15

• 6/56

• 9/44

Multiple Choice

The make-up of employees at a police station is shown in the table above:

6) What is the probability that a randomly selected employee is a chief?

• 1/100

• 2/100

• 1/33

• 1/67

Multiple Choice

The make-up of employees at a police station is shown in the table above:

7) What is the probability that a randomly selected employee is male and a sergeant?

• 8/13

• 8/33

• 8/67

• 8/100

Multiple Choice

The make-up of employees at a police station is shown in the table above:

8) Given the employee is a chief, what is the probability the employee is male?

• 1/100

• 1/33

• 1/2

• 1/67

Multiple Choice

The make-up of employees at a police station is shown in the table above:

9) Given the employee is a female, what is the probability of the employee being a chief?

• 1/2

• 1/33

• 1/67

• 1/100

Multiple Choice

The make-up of employees at a police station is shown in the table above:

10) Given the employee is an inspector, what is the probability the employee is male?

• 2/6

• 2/33

• 2/67

• 2/100

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

1) What is the probability a randomly selected student got an A or B for the semester?

• 15/100

• 20/100

• 35/100

• 65/100

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

2) What is the probability a randomly selected student is male?

• 12/100

• 17/100

• 44/100

• 56/100

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

3) What is the probability a randomly selected student earned a passing grade?

• 20/100

• 35/100

• 65/100

• 87/100

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

4) Given that the grade is an A, what is the probability of the student being female?

• 8/20

• 12/20

• 8/44

• 12/56

Multiple Choice

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

5) Given that the grade is a B, what is the probability of the student being male?

• 6/15

• 9/15

• 6/56

• 9/44

Multiple Choice

The make-up of employees at a police station is shown in the table above:

6) What is the probability that a randomly selected employee is a chief?

• 1/100

• 2/100

• 1/33

• 1/67

Multiple Choice

The make-up of employees at a police station is shown in the table above:

7) What is the probability that a randomly selected employee is male and a sergeant?

• 8/13

• 8/33

• 8/67

• 8/100

Multiple Choice

The make-up of employees at a police station is shown in the table above:

8) Given the employee is a chief, what is the probability the employee is male?

• 1/100

• 1/33

• 1/2

• 1/67

Multiple Choice

The make-up of employees at a police station is shown in the table above:

9) Given the employee is a female, what is the probability of the employee being a chief?

• 1/2

• 1/33

• 1/67

• 1/100

Multiple Choice

The make-up of employees at a police station is shown in the table above:

10) Given the employee is an inspector, what is the probability the employee is male?

• 2/6

• 2/33

• 2/67

• 2/100

Multiple Choice

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.

11) What is the probability a randomly selected student is male and has a provisional license?

• 14/60

• 26/60

• 14/120

• 26/120

Multiple Choice

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.

12) What is the probability a randomly selected student is female and can drive?

• 15/60

• 48/60

• 33/120

• 48/120

Multiple Choice

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.

13) What is the probability a randomly selected student has no license?

• 20/60

• 32/120

• 20/32

• 20/59

Multiple Choice

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.

14) Given that a student is male, what is the probability the student can’t drive?

• 12/60

• 12/120

• 20/60

• 20/120

Multiple Choice

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.

15) Given that a student has a permit, what is the probability the student is female?

• 15/29

• 33/59

• 15/60

• 15/120