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Probability with Two Way Tables

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Last updated about 2 hours ago
19 questions
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Calculate probabilities with two-way tables.


Two Way Table: A table used to display data in two different categories.
First state your answers as fractions, then change the fractions to percents.
Remember that a fraction is a division problem, you will first need to change your fraction to a decimal by dividing. Then watch the video below to review how to change the decimal to a percent.
Question 1
1.

Finish filling in the table below.

Question 2
2.

Finish filling in the table below.

Question 3
3.

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.)

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Question 4
4.

How many total surfers were questioned?

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Question 5
5.

How many surfers are advanced?

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Question 9
9.

How many total people were questioned?

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Question 10
10.

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.

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A research group surveys parents and coaches of high school students about whether competitive sports are important in school.
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Question 13
13.

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

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Question 14
14.

What does 120 represent?

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Question 15
15.

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.
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Question 16
16.

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.

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Question 17
17.

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.

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Question 18
18.

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.

Question 19
19.

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

Question 6
6.

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.

Question 7
7.

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.

Question 8
8.

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.

Question 11
11.

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.

Question 12
12.

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.

What does 165 represent?