# Developing Discrete Probability Distributions Theoretically & Finding Expected Values

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question 1 of 3

### You play a game where you toss a coin. On each toss if it lands with heads up, you win \$1. However, if it lands with tails up, you lose \$2. If you continue to play this game, how much can you expect to win or lose per game?

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### 2. A roulette wheel has 38 slots labeled with the numbers 1 through 36 and then 0 and 00. Slots 1 through 36 are colored either red or black. There are 18 red and 18 black. Slots 0 and 00 are colored green (see picture). Suppose that for a bet of \$1 on red, the casino will pay you \$2 if the ball lands on a red slot (a net gain of \$1), and otherwise you lose your dollar. What can you expect to win or lose in this game?

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Focusing in on how to calculate possible outcomes, this quiz and corresponding worksheet will help you gauge your knowledge of discrete probability distributions. Topics you'll need to know to pass the quiz include understanding how to calculate discrete probability distribution problems.

## Quiz & Worksheet Goals

Use this printable worksheet and quiz to review:

• Multiple discrete probability distribution problems

## Skills Practiced

This worksheet and quiz will let you practice the following skills:

• Problem solving - use acquired knowledge to solve discrete probability distribution problems
• Interpreting information - verify you can read information regarding discrete probability distribution and interpret it correctly
• Knowledge application - use your knowledge to answer questions about discrete probability distribution

To learn more about what may likely happen given known variables, review the corresponding lesson Developing Discrete Probability Distributions Theoretically & Finding Expected Values. This lesson will help you:

• Define what probability distribution is
• Understand how discrete probability distributions can be created
• Describe how theoretical discrete distributions can be applied to tossing coins
• Identify the sum of the probabilities in a discrete distribution
• Know how to calculate the expected value of the distribution
• Appreciate what expected value can show us in life
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