Sample Space in Statistics: Definition & Examples


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question 1 of 3

A teenage girl is trying to put together her fall outfits. Each outfit consists of one top, one bottom and one accessory. The list below shows the pieces of clothing that she has in her closet.

TOPS - sweater, hoodie, long-sleeved blouse, polo shirt

BOTTOMS - pants, skirt

ACCESSORIES - scarf, headband, beret

How many different outfits are in the sample space AND what proportion of all the different outfits have the hoodie as the top?

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1. A student's password for her school email consists of three characters. The first character must be a lower-case letter. The second and third characters must be single digits. If Caitlin wants to use the letter 'c' for the first character, how many different passwords can she choose from?

2. A coin is tossed three times. For each toss, the possible outcomes are H (Heads) or T (Tails). What is the sample space for this experiment?

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About This Quiz & Worksheet

This quiz and worksheet will help gauge your understanding of sample space in statistics. Topics featured on the quiz include the fundamental counting principle and coin tosses.

Quiz & Worksheet Goals

These tools will measure your knowledge of the following:

  • Proportions
  • Fundamental counting principle
  • Word problems

Skills practiced

  • Reading comprehension - ensure that you draw the most important information from the related statistics lesson
  • Problem solving - use acquired knowledge to solve practice sample space problems
  • Knowledge application - use your knowledge to answer questions about sample space in statistics

Additional Learning

To learn more, review the lesson Sample Space in Statistics: Definition & Examples, which covers the following objectives:

  • Define random experiment
  • Understand outcome, sample space, and events
  • Recall the fundamental counting principle and tree diagram
  • Review sample space examples