Determining Independence of Events Using Conditional Probability

This video tutorial explains how to determine if two events are independent by comparing simple and conditional probabilities. It uses examples like age and height, and liking pizza, to illustrate when events are independent or associated. The lesson emphasizes that independence is confirmed when the conditional probability equals the simple probability, and provides strategies to assess independence for any events.

What is the key factor in determining if two events are independent?

• The events must be mutually exclusive.

• The events must occur simultaneously.

• The probability of one event must not affect the other.

• Both events must have the same probability.

How do you calculate the simple probability of an event?

• By adding the number of occurrences to the total outcomes.

• By subtracting the number of occurrences from the total outcomes.

• By dividing the number of occurrences by the total outcomes.

• By multiplying the number of occurrences by the total outcomes.

Why are the events of being less than 14 years old and being between 5 and 6 feet tall not considered independent?

• Because the events are mutually exclusive.

• Because the events occur at the same time.

• Because the conditional probability is less than the simple probability.

• Because the conditional probability is greater than the simple probability.

What indicates that liking pizza and being between 5 and 6 feet tall are independent events?

• The conditional probability equals the simple probability.

• The conditional probability is greater than the simple probability.

• The conditional probability is less than the simple probability.

• The events occur simultaneously.

What is the estimated simple probability that someone likes pizza?

• 50%

• 90%

• 30%

• 70%