Proving Independence Numerically

The video tutorial explains the concept of probability and how to determine if events are independent using the independence formula. It covers conditional probability and provides examples using a die roll, a coin flip, and a two-way table to illustrate the process of proving independence numerically.

What is the probability of rolling a 4 on a die?

What is the conditional probability formula?

Explain the concept of independent events in probability.

What does it mean if two events are dependent?

How can you prove that two events are independent using numerical values?

In the example of rolling a die, what is the probability of rolling an even number?

What is the probability of rolling a 4 given that an even number is rolled?

How do you determine if the events of rolling a 4 and flipping heads are independent?

In the context of buying popcorn and candy, how do you determine if these events are independent?

What conclusion can you draw about the independence of buying popcorn and candy based on the given probabilities?