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.

What is the formula for conditional probability?

• Probability of A given B equals probability of A and B divided by probability of B

• Probability of A equals probability of B given A

• Probability of B equals probability of A given B

• Probability of B given A equals probability of A and B divided by probability of A

Why can we use counts instead of true probabilities when calculating conditional probability from a two-way table?

• Because counts are easier to calculate

• Because true probabilities are not needed

• Because the denominators cancel out, leaving only the counts

• Because counts are always more accurate

What is the probability of a first-class passenger surviving on the Titanic?

• 80.5%

• 70.5%

• 64.5%

• 50.5%

How many first-class passengers survived the Titanic disaster?

• 711

• 203

• 325

• 178

What is the probability of a third-class passenger surviving on the Titanic?

• 45.2%

• 35.2%

• 25.2%

• 15.2%

How many third-class passengers were there on the Titanic?

• 325

• 706

• 711

• 203

What percentage of Titanic survivors were crew members?

• 19.8%

• 29.8%

• 49.8%

• 39.8%