Lotteries: Finding Expected Values of Games of Chance


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What do we call the number of successful outcomes expected in an experiment?

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1. What is a probability formula that uses factorials to find the number of possible combinations of all the outcomes in an experiment?

2. Naomi is buying a ticket for the lottery. She can pick 5 numbers, 1 through 15, with no numbers repeating. Order does not matter for her to win. What are her chances of winning?

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About This Quiz & Worksheet

This quiz tests your general knowledge of experiments and finding expected values in games of chance. Questions on the quiz will require you to find the solutions to these kinds of problems.

Quiz & Worksheet Goals

You will need to find the expected value in problems that involve picking combinations of numbers from the following number ranges:

  • 1 to 15
  • 1 to 25
  • 1 to 32

Skills Practiced

Focus on working on these skills while completing the quiz:

  • Information recall - access the knowledge you've gained regarding the number of successful outcomes that are expected in experiments
  • Knowledge application - use your knowledge to answer questions about probability formulas
  • Problem solving - use acquired knowledge to solve expected values practice problems

Additional Learning

Find out even more about this subject by studying the lesson that's entitled Lotteries: Finding Expected Values of Games of Chance. Topics that are covered by this lesson include:

  • The formula for expected value
  • Pick 4 and bonus number lotteries
  • The role of factorials in finding expected values