Conditional Probability and Titanic Survival Analysis

This video tutorial explains how to calculate conditional probabilities using a two-way table. It begins with an introduction to conditional probability and its formula. The tutorial then provides examples, including calculating the probability of having brown hair given being female, and survival probabilities for different classes on the Titanic. The video concludes with a calculation of the probability of being a crew member given survival. Throughout, the importance of understanding the mathematical reasoning behind using counts instead of true probabilities is emphasized.

What is the formula for conditional probability?

• P(A and B) = P(A) * P(B)

• P(A|B) = P(B) / P(A)

• P(B|A) = P(A and B) / P(A)

• P(A or B) = P(A) + P(B)

In a two-way table, what does the intersection of a row and column represent?

• The probability of the row event

• The probability of the column event

• The joint occurrence of both events

• The total number of observations

How do you simplify a complex fraction in conditional probability calculations?

• By multiplying by the reciprocal

• By dividing by zero

• By subtracting the denominators

• By adding the numerators

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

• 0.645

• 0.298

• 0.500

• 0.252

How many first-class passengers survived the Titanic disaster?

• 325

• 178

• 203

• 711

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

• 0.252

• 0.500

• 0.645

• 0.298

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

• 711

• 706

• 325

• 203

What is the probability of being a crew member given that you survived the Titanic?

• 0.252

• 0.645

• 0.500

• 0.298

How many crew members survived the Titanic disaster?

• 325

• 203

• 212

• 178

What percentage of Titanic survivors were crew members?

• 50.0%

• 64.5%

• 25.2%

• 29.8%