Calculating the Probability of Independent Events

The video tutorial explains the concept of independent events in probability. It begins by defining independence and provides examples, such as picking red balls from two boxes and rolling dice. The tutorial highlights common misunderstandings, like assuming independence without verification. It uses examples like gender and sneaker-wearing to illustrate dependent events. The video concludes with an analysis of dice rolls and single die rolls to demonstrate how to verify independence using probability calculations.

Discuss the misunderstanding regarding the application of the independence formula.

How do you calculate the probability of two events being both even when rolling two dice?

What is the probability of rolling a number less than 4 and rolling an odd number?