Understanding Conditional Probabilities and the Alternate Addition Rule

The video tutorial explains the probability of having cake or pie at holiday meals using the addition rule. It introduces the traditional and conditional probability formulas and derives an alternate addition rule using conditional probabilities. A proof is provided to show the equivalence of the probability of intersection and the product of probabilities. Two examples are given: one for calculating the probability of having cake or pie, and another for voting probabilities in a prom scenario.

How can we combine the traditional addition rule and the conditional probability formula?

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

Calculate the probability of a family having cake or pie based on the given data.