To determine the correct table header that represents the total sample space of a customer's meal selection (one side item and one drink), we need to consider all possible combinations of the selected items.
The drink choices are:
- Tea
- Coffee
- Juice
The side item choices are:
- Eggs
- Grits
- Toast
- Bagel
- Fruit
- Muffin
- Bacon
- Sausage
Since there are 3 drink options and 8 side item options, the total combinations (sample space) can be calculated as:
Total combinations = (number of drink choices) × (number of side item choices) Total combinations = 3 × 8 = 24 combinations
We can look at the options for the tables:
- Table A appears to show limited combinations and does not include all possible pairings.
- Table B lists combinations that include one of each option, matching the total of 24 unique pairings.
- Table C also appears to provide a valid list but may not cover all combinations given in the prompt.
After reviewing the descriptions and combinations, Table B correctly represents the total sample space for the drink and side item selections, as it lists all possible combinations of the drinks and side items available.
Therefore, the correct table header that shows the total sample space is Table B.