Probability and Outcomes with Dice

The video tutorial explains how to calculate the probability of rolling doubles with two six-sided dice. It begins by defining what rolling doubles means and then explores the sample space of possible outcomes when rolling two dice. A grid is used to visualize all possible outcomes, and the tutorial concludes by calculating the probability of rolling doubles, which is determined to be 1/6.

What does it mean to roll doubles with two dice?

• Both dice show the same number.

• The sum of the dice is an even number.

• Both dice show different numbers.

• One die shows a number greater than the other.

How many possible outcomes are there when rolling a single six-sided die?

• 4

• 5

• 7

• 6

What is the total number of possible outcomes when rolling two six-sided dice?

• 36

• 30

• 24

• 12

In the grid visualization, what does each cell represent?

• The sum of the numbers on the dice.

• A possible outcome of rolling one die.

• The difference between the numbers on the dice.

• A possible outcome of rolling two dice.

How many outcomes qualify as doubles when rolling two dice?

• 7

• 6

• 5

• 4

Which of the following is an example of rolling doubles?

• Rolling a 1 and a 3

• Rolling a 4 and a 4

• Rolling a 2 and a 3

• Rolling a 5 and a 6

What is the probability of rolling doubles with two six-sided dice?

• 1/2

• 1/3

• 1/4

• 1/6

How do you calculate the probability of an event?

• Add the number of successful outcomes to the total number of possible outcomes.

• Subtract the number of successful outcomes from the total number of possible outcomes.

• Multiply the number of successful outcomes by the total number of possible outcomes.

• Divide the number of successful outcomes by the total number of possible outcomes.

If there are 36 possible outcomes, how many outcomes are there for rolling a 1 on both dice?

• 4

• 3

• 1

• 2

What fraction represents the probability of rolling doubles?

• 1/6

• 1/2

• 1/3

• 1/4