Probability Concepts and Conditional Probability

The video tutorial explains how to determine the probability of a family having cake or pie for a holiday meal using the addition rule. It introduces an alternate formula for the addition rule by combining traditional and conditional probability formulas. The tutorial includes a proof of the alternate rule and applies it to two examples: a holiday meal scenario and a prom voting scenario.

What percentage of families have pie during holiday meals?

• 29%

• 42%

• 34%

• 63.8%

Which rule is used to find the probability of having cake or pie?

• Division Rule

• Addition Rule

• Subtraction Rule

• Multiplication Rule

What does the traditional addition rule require that we do not have in this problem?

• Probability of A

• Conditional probability

• Probability of B

• Probability of their intersection

What is the formula for conditional probability?

• P(B|A) = P(A and B) / P(A)

• P(A) = P(B) - P(A and B)

• P(A or B) = P(A) + P(B) - P(A and B)

• P(A and B) = P(A) * P(B)

How do you calculate the probability of A and B using conditional probability?

• P(A) + P(B)

• P(A) * P(B|A)

• P(A) / P(B)

• P(A) - P(B)

What is the probability of a family having both cake and pie?

• 0.1218

• 0.42

• 0.34

• 0.29

What is the probability of a family having cake or pie at their holiday meal?

• 0.42

• 0.638

• 0.29

• 0.34

What percentage of seniors will vote for Zach for prom king?

• 54%

• 48%

• 70%

• 90.4%

What is the probability that a student will vote for Taylor given they voted for Zach?

• 0.48

• 0.904

• 0.7

• 0.54

What is the probability of a student voting for either Zach or Taylor?

• 0.7

• 0.54

• 0.904

• 0.48