Calculating Conditional Probabilities Using a Two-Way Table

This video tutorial explains how to calculate conditional probabilities using two-way tables. It begins with an introduction to conditional probability and its formula. The tutorial then demonstrates how to apply this formula using examples, including calculating the probability of survival for different classes on the Titanic. The video concludes with a discussion on the probability of being a crew member among the survivors.

Explain the process of finding the probability of brown hair given that a person is female using a two-way table.

How do you calculate the probability of being female from the two-way table?

What is the significance of the intersection in a two-way table when calculating conditional probabilities?

What is the conditional probability formula in the context of finding the probability of surviving given that a passenger was in first class?

How many first-class passengers survived according to the data provided?

What was the probability of a passenger surviving if they were in third class?

Discuss the implications of the survival rates between first-class and third-class passengers based on the calculations.