Understanding Conditional Probability and Two-Way Tables

The video tutorial covers conditional probability and two-way tables, starting with a Venn diagram to illustrate students taking a foreign language and playing sports. It explains how to create a two-way table, calculate totals, and introduces joint, marginal, and conditional probabilities. The tutorial includes examples and practice questions to reinforce understanding of these concepts.

How many students take a foreign language according to the Venn diagram?

• 47

• 14

• 37

• 23

What is the total number of students who play a sport?

• 10

• 24

• 14

• 37

In a two-way table, what does the box representing students who do not play a sport and do not take a foreign language contain?

• 10

• 23

• 14

• 0

What is a joint probability?

• Probability of no categories

• Probability of a single category

• Probability involving two categories

• Probability of all categories

How many females work at the hospital in the given sample?

• 52

• 27

• 63

• 91

What is a marginal probability?

• Probability of no categories

• Probability of all categories

• Probability involving two categories

• Probability of a single category

How many people work at the animal shelter?

• 141

• 156

• 91

• 63

What is the probability that a randomly chosen person works at the animal shelter given they are female?

• 63 out of 156

• 91 out of 300

• 27 out of 68

• 52 out of 300

How many males work at the library?

• 300

• 144

• 68

• 27

What is the probability that a person is male given they work at the library?

• 27 out of 68

• 63 out of 156

• 52 out of 91

• 27 out of 144