Understanding Odds with a Fair Die

This video tutorial introduces the concept of odds using a six-sided fair die. It explains how to calculate the odds in favor of and against an event by comparing the number of favorable and unfavorable outcomes. The tutorial provides examples, such as finding the odds of rolling a four or a number less than or equal to four, and simplifies ratios where applicable. It also covers the odds against rolling a number greater than or equal to three, emphasizing the importance of expressing odds as a ratio.

What is the sample space when rolling a six-sided fair die?

• 1, 3, 5, 6

• 2, 3, 4, 5, 6

• 1, 2, 3, 4, 5

• 1, 2, 3, 4, 5, 6

How are the odds in favor of an event calculated?

• Number of favorable outcomes divided by total outcomes

• Number of favorable outcomes to number of unfavorable outcomes

• Total outcomes divided by number of favorable outcomes

• Number of unfavorable outcomes to number of favorable outcomes

What are the odds in favor of rolling a four on a six-sided die?

• 1 to 5

• 5 to 1

• 1 to 6

• 6 to 1

If the odds in favor of an event are 1 to 5, what are the odds against it?

• 6 to 1

• 1 to 6

• 1 to 5

• 5 to 1

Why should the odds expressed as a fraction not be simplified?

• It changes the meaning of the odds

• It makes the odds incorrect

• It is a convention to keep them as a ratio

• It is not mathematically allowed

What are the favorable outcomes when rolling a number less than or equal to four?

• 3, 4, 5

• 4, 5, 6

• 1, 2, 3, 4

• 2, 3, 4

How do you simplify the ratio 4 to 2?

• 1 to 2

• 2 to 1

• 4 to 1

• 2 to 3

What are the odds against rolling a number greater than or equal to three?

• 3 to 1

• 1 to 3

• 2 to 1

• 1 to 2

Which numbers are considered unfavorable when rolling a number greater than or equal to three?

• 2 and 3

• 3 and 4

• 1 and 2

• 5 and 6

What is the simplified ratio of 2 to 4?

• 1 to 2

• 3 to 1

• 2 to 1

• 1 to 3