Question to test your Basic Concepts of Probability knowledge

Question

A survey records a person's favorite fruit from the options apple, grape, and orange, and their preferred beverage from water, juice, soda, and tea. What is the sample space for this experiment, and how many outcomes are in the sample space?

Accepted Answer

Sample space: {(apple, water),(apple, juice),(apple, soda),(apple, tea),(grape, water),(grape, juice),(grape, soda),(grape, tea),(orange, water),(orange, juice),(orange, soda),(orange, tea)}\{(\text{apple, water}),(\text{apple, juice}),(\text{apple, soda}),(\text{apple, tea}),\(\text{grape, water}),(\text{grape, juice}),(\text{grape, soda}),(\text{grape, tea}),\(\text{orange, water}),(\text{orange, juice}),(\text{orange, soda}),(\text{orange, tea})\} Number of outcomes: 1212

Answer

Sample space: {(apple, water),(apple, juice),(apple, tea),(grape, water),(grape, juice),(grape, tea),(orange, water),(orange, juice),(orange, tea)}\{(\text{apple, water}),(\text{apple, juice}),(\text{apple, tea}),\(\text{grape, water}),(\text{grape, juice}),(\text{grape, tea}),\(\text{orange, water}),(\text{orange, juice}),(\text{orange, tea})\} Number of outcomes: 99

Answer

Sample space: {(apple, water),(apple, juice),(apple, tea),(grape, water),(grape, juice),(grape, tea),(orange, water),(orange, juice),(orange, tea)}\{(\text{apple, water}),(\text{apple, juice}),(\text{apple, tea}),\(\text{grape, water}),(\text{grape, juice}),(\text{grape, tea}),\(\text{orange, water}),(\text{orange, juice}),(\text{orange, tea})\} Number of outcomes: 1212

Answer

Sample space: {(apple, water),(apple, juice),(apple, soda),(apple, tea),(grape, water),(grape, juice),(grape, soda),(grape, tea),(orange, water),(orange, juice),(orange, soda),(orange, tea)}\{(\text{apple, water}),(\text{apple, juice}),(\text{apple, soda}),(\text{apple, tea}),\(\text{grape, water}),(\text{grape, juice}),(\text{grape, soda}),(\text{grape, tea}),\(\text{orange, water}),(\text{orange, juice}),(\text{orange, soda}),(\text{orange, tea})\} Number of outcomes: 99

Basic Concepts of Probability: Videos & Practice Problems

A survey records a person's favorite fruit from the options apple, grape, and orange, and their preferred beverage from water, juice, soda, and tea. What is the sample space for this experiment, and how many outcomes are in the sample space?