How to find the probability of mutually exclusive event with a die

The video tutorial explains how to calculate the probability of rolling an even number or the number 3 using a six-sided die. It introduces the concept of mutually exclusive events, where rolling a 3 and an even number cannot occur simultaneously. The tutorial demonstrates how to calculate individual probabilities and then add them, considering the events are mutually exclusive. The final probability is simplified to 2/3, and the instructor prefers not to use repeating decimals.

What is the probability of rolling an even number on a six-sided die?

• 1/6

• 1/2

• 1/3

• 2/3

Why are the events of rolling an even number and rolling a 3 considered mutually exclusive?

• Because they are both odd numbers

• Because they have the same probability

• Because they cannot occur at the same time

• Because they can occur at the same time

What is the probability of rolling the number 3 on a six-sided die?

• 1/6

• 1/2

• 1/3

• 2/3

How do you find the total probability of two mutually exclusive events?

• Divide their probabilities

• Subtract their probabilities

• Add their probabilities

• Multiply their probabilities

What is the simplified probability of rolling an even number or a 3 on a six-sided die?

• 3/4

• 2/3

• 1/3

• 1/2