Question

Roll a standard number cube. Then flip a quarter. Write the sample space in your workbook and enter the number of outcomes below.

Answer 1

12 possible outcomes because there are 6 sides on the dice and each are a possibility and 2 sides on a quarter and each are a possibility so do 6x2= 12

Answer 2

The sample space for rolling a standard number cube and flipping a quarter can be represented using a table, where the rows correspond to the possible outcomes of the coin flip and the columns correspond to the possible outcomes of the number cube roll:

| H | T

---------------

1 | 1H| 1T

2 | 2H| 2T

3 | 3H| 3T

4 | 4H| 4T

5 | 5H| 5T

6 | 6H| 6T

In the table, "H" represents heads and "T" represents tails. Each cell in the table represents a possible outcome of the experiment, where the first element corresponds to the number cube roll and the second element corresponds to the coin flip.

The total number of outcomes in the sample space is equal to the product of the number of outcomes for each of the two experiments. Since there are 6 possible outcomes for rolling a standard number cube and 2 possible outcomes for flipping a quarter, the total number of outcomes in the sample space is 6 x 2 = 12.

Explanation: