Select the correct header in the table.

A customer at a restaurant selects one side item and one drink to complete their meal. The drink choices are tea, coffee, or juice. The choices of side items are eggs, grits, toast, bagel, fruit, muffin, bacon, or sausage.

Select the table header that correctly shows the total sample space.

Table A Table B Table C
coffee, eggs
tea, toast
juice,fruit
coffee,bacon
tea, grits
juice, bagel
coffee, muffin
tea, sausage
juice, toast
coffee, bagel
tea, eggs
juice, grits
eggs, coffee
grits, tea
toast, juice
bagel, coffee
fruit, tea
muffin, juice
bacon, coffee
sausage, tea

coffee, eggs
coffee, grits
coffee, toast
coffee, bagel
coffee, fruit
coffee, muffin
coffee, bacon
coffee, sausage
tea, eggs
tea, grits
tea, toast
tea, bagel
tea, fruit
tea, muffin
tea, bacon
tea, sausage
juice, eggs
juice, grits
juice, toast
juice, bagel
juice, fruit
juice, muffin
juice, bacon
juice, sausage

1 answer

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:

  1. Table A appears to show limited combinations and does not include all possible pairings.
  2. Table B lists combinations that include one of each option, matching the total of 24 unique pairings.
  3. 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.