Probability with Two Dice

The video tutorial explores the probabilities of different outcomes when rolling two dice. It begins by explaining the total possible outcomes and focuses on calculating the probability of the sum being odd, five, or seven. The tutorial also examines scenarios where at least one die shows a one, using a table to identify favorable outcomes and simplify probabilities into fractions, decimals, and percentages.

How many total possible outcomes are there when rolling two dice?

• 48

• 36

• 24

• 12

What is the probability that the sum of two dice is an odd number?

• 1/3

• 1/2

• 2/3

• 3/4

Which of the following sums is odd when rolling two dice?

• 6

• 5

• 4

• 2

What is the probability that the sum of two dice is exactly five?

• 1/9

• 1/6

• 1/4

• 1/3

How many favorable outcomes result in a sum of five when rolling two dice?

• 2

• 3

• 5

• 4

What is the probability that the sum of two dice is seven and at least one die shows a one?

• 1/6

• 1/9

• 1/12

• 1/18

Which pair of dice results in a sum of seven with one die showing a one?

• 6 and 1

• 4 and 3

• 5 and 2

• 3 and 4

What is the probability that the sum of two dice is seven or at least one die shows a one?

• 1/3

• 5/12

• 7/18

• 1/2

How many favorable outcomes are there when the sum is seven or at least one die shows a one?

• 15

• 18

• 10

• 12

Which of the following is a favorable outcome when the sum is seven or at least one die shows a one?

• 1 and 4

• 3 and 3

• 2 and 2

• 5 and 5