Probability Concepts from a Fair Die Roll

The video tutorial explains how to calculate the probability of different events when rolling a fair die. It begins by defining the sample space and then calculates the probability of rolling a 5, an even number, and a number greater than 2. Each probability is expressed as a fraction, decimal, and percentage, with explanations on how to convert between these forms. The tutorial emphasizes understanding the sample space and the concept of favorable outcomes.

What is the sample space when a fair die is rolled?

• 1, 2, 3, 4, 5

• 1, 2, 3, 4, 5, 6

• 1, 2, 3, 5, 6

• 1, 2, 3, 4, 6

How many favorable outcomes are there for rolling a 5?

• 0

• 2

• 3

• 1

What is the probability of rolling a 5 expressed as a percentage?

• 16.6 repeating%

• 15.6%

• 16.7%

• 16.6%

Which numbers are considered favorable outcomes for rolling an even number?

• 1, 3, 5

• 1, 2, 3

• 4, 5, 6

• 2, 4, 6

What is the probability of rolling an even number as a fraction?

• 3/4

• 2/3

• 1/3

• 1/2

How many favorable outcomes are there for rolling a number greater than 2?

• 3

• 2

• 4

• 5

What is the probability of rolling a number greater than 2 expressed as a decimal?

• 0.6

• 0.67

• 0.6 repeating

• 0.66

What is the probability of rolling a number greater than 2 as a percentage?

• 66.6%

• 67%

• 66.7%

• 66.6 repeating%

What should you remember when converting a decimal to a percentage?

• Add a percent sign

• Multiply by 10

• Divide by 100

• Subtract a percent sign

Why is it important to express probability in the format specified by the question?

• To ensure clarity

• To avoid confusion

• To meet the question's requirements

• All of the above