Probability with Two Way Tables

Last updated 15 days ago

19 questions

Calculate probabilities with two-way tables.

Two Way Table:  A table used to display data in two different categories.

Finish filling in the table below.

There are 16 juniors and 24 seniors on a debate team. Of these, 7 juniors and 19 seniors qualify for a state debate competition. Organize this information in a two-way table. (Hint: Use "Qualify" and "Did not Qualify" as one of your categories.)

A research group surveys parents and coaches of high school students about whether competitive sports are important in school.

EXTENSION:
The table shows how many adults and students attended a concert at the local park on Friday night, and whether or not each bought a program for the concert at the concession stand.

Probability with Two Way Tables

Probability with Two Way Tables

Finish filling in the table below.

Finish filling in the table below.

There are 16 juniors and 24 seniors on a debate team. Of these, 7 juniors and 19 seniors qualify for a state debate competition. Organize this information in a two-way table. (Hint: Use "Qualify" and "Did not Qualify" as one of your categories.)

Finish filling in the table below.

Finish filling in the table below.

There are 16 juniors and 24 seniors on a debate team. Of these, 7 juniors and 19 seniors qualify for a state debate competition. Organize this information in a two-way table. (Hint: Use "Qualify" and "Did not Qualify" as one of your categories.)

How many total surfers were questioned?

How many surfers are advanced?

If a surfer was randomly selected, what are the chances that the surfer has a regular surfing style and is male? First write your answer as a fraction in the show your work section. Then state your final answer as a percent rounded to the nearest tenth.

A female surfer is randomly selected. What are the chances they are advanced? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

A "regular" surfer is randomly selected. What are the chances they are female? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

How many total people were questioned?

A person is selected at random. What are the chances it is someone who has both a hunting license and fishing license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Someone who does NOT have a fishing license is selected at random. What are the chances that they have a hunting license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Someone who has a hunting license is selected at random. What are the chances that they also have a fishing license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Describe the error.
Find the probability that a person chosen at random feels sports are important.
1000/1501=66.6%

What does 120 represent?

What does 165 represent?

EXTENSION: Based on this data, use a percentage to express how likely it is that a student at a football game next Friday will buy a program at the concession stand. Round your answer to the nearest whole percent.

EXTENSION: Based on this data, use a percentage to express how likely it is an adult or student at a football game next Friday will buy a program at the concession stand. Round your answer to the nearest whole percent.

EXTENSION: If 40 students did not buy a program at the concession stand, then how many adults and students altogether do the data represent? Round to the nearest whole number.

Rate your understanding on using two-way tables to calculate probabilities.

How many total surfers were questioned?

How many surfers are advanced?

If a surfer was randomly selected, what are the chances that the surfer has a regular surfing style and is male? First write your answer as a fraction in the show your work section. Then state your final answer as a percent rounded to the nearest tenth.

A female surfer is randomly selected. What are the chances they are advanced? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

A "regular" surfer is randomly selected. What are the chances they are female? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

How many total people were questioned?

A person is selected at random. What are the chances it is someone who has both a hunting license and fishing license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Someone who does NOT have a fishing license is selected at random. What are the chances that they have a hunting license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Someone who has a hunting license is selected at random. What are the chances that they also have a fishing license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Describe the error.
Find the probability that a person chosen at random feels sports are important.
1000/1501=66.6%

What does 120 represent?

What does 165 represent?

EXTENSION: Based on this data, use a percentage to express how likely it is that a student at a football game next Friday will buy a program at the concession stand. Round your answer to the nearest whole percent.

EXTENSION: Based on this data, use a percentage to express how likely it is an adult or student at a football game next Friday will buy a program at the concession stand. Round your answer to the nearest whole percent.

EXTENSION: If 40 students did not buy a program at the concession stand, then how many adults and students altogether do the data represent? Round to the nearest whole number.

Probability with Two Way Tables

Probability with Two Way Tables

Finish filling in the table below.

Finish filling in the table below.

There are 16 juniors and 24 seniors on a debate team. Of these, 7 juniors and 19 seniors qualify for a state debate competition. Organize this information in a two-way table. (Hint: Use "Qualify" and "Did not Qualify" as one of your categories.)

Finish filling in the table below.

Finish filling in the table below.

There are 16 juniors and 24 seniors on a debate team. Of these, 7 juniors and 19 seniors qualify for a state debate competition. Organize this information in a two-way table. (Hint: Use "Qualify" and "Did not Qualify" as one of your categories.)

How many total surfers were questioned?

How many surfers are advanced?

If a surfer was randomly selected, what are the chances that the surfer has a regular surfing style and is male? First write your answer as a fraction in the show your work section. Then state your final answer as a percent rounded to the nearest tenth.

A female surfer is randomly selected. What are the chances they are advanced? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

A "regular" surfer is randomly selected. What are the chances they are female? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

How many total people were questioned?

A person is selected at random. What are the chances it is someone who has both a hunting license and fishing license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Someone who does NOT have a fishing license is selected at random. What are the chances that they have a hunting license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Someone who has a hunting license is selected at random. What are the chances that they also have a fishing license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Describe the error.Find the probability that a person chosen at random feels sports are important.1000/1501=66.6%

What does 120 represent?

What does 165 represent?

EXTENSION: Based on this data, use a percentage to express how likely it is that a student at a football game next Friday will buy a program at the concession stand. Round your answer to the nearest whole percent.

EXTENSION: Based on this data, use a percentage to express how likely it is an adult or student at a football game next Friday will buy a program at the concession stand. Round your answer to the nearest whole percent.

EXTENSION: If 40 students did not buy a program at the concession stand, then how many adults and students altogether do the data represent? Round to the nearest whole number.

Rate your understanding on using two-way tables to calculate probabilities.

How many total surfers were questioned?

How many surfers are advanced?

If a surfer was randomly selected, what are the chances that the surfer has a regular surfing style and is male? First write your answer as a fraction in the show your work section. Then state your final answer as a percent rounded to the nearest tenth.

A female surfer is randomly selected. What are the chances they are advanced? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

A "regular" surfer is randomly selected. What are the chances they are female? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

How many total people were questioned?

A person is selected at random. What are the chances it is someone who has both a hunting license and fishing license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Someone who does NOT have a fishing license is selected at random. What are the chances that they have a hunting license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Someone who has a hunting license is selected at random. What are the chances that they also have a fishing license? First write your answer as a fraction in the show your work section. Then state your final answer a percent rounded to the nearest tenth.

Describe the error.Find the probability that a person chosen at random feels sports are important.1000/1501=66.6%

What does 120 represent?

What does 165 represent?

EXTENSION: Based on this data, use a percentage to express how likely it is that a student at a football game next Friday will buy a program at the concession stand. Round your answer to the nearest whole percent.

EXTENSION: Based on this data, use a percentage to express how likely it is an adult or student at a football game next Friday will buy a program at the concession stand. Round your answer to the nearest whole percent.

EXTENSION: If 40 students did not buy a program at the concession stand, then how many adults and students altogether do the data represent? Round to the nearest whole number.

Describe the error.
Find the probability that a person chosen at random feels sports are important.
1000/1501=66.6%

Describe the error.
Find the probability that a person chosen at random feels sports are important.
1000/1501=66.6%