Expected values for a game of chance
Expected values for a game of chance
What you'll learn
- Calculate the expected value of a simple game of chance (e.g., coin toss, dice roll) by correctly applying the formula: E(X) = Σ [x * P(x)] for at least 3 different games, demonstrating procedural fluency.
- Explain, in writing, the meaning of expected value in the context of a game of chance, including its interpretation as the average outcome over a large number of trials, with at least 80% accuracy on a formative assessment.
- Solve problems involving decision-making based on expected value, determining whether a game is 'fair' or advantageous to the player or the house, with supporting justification in at least 2 out of 3 scenarios.
- Apply the concept of expected value to analyze the potential profitability or loss associated with participating in different games of chance and recommend, with supporting calculations, which game offers the most favorable expected return for a given risk tolerance, demonstrating critical thinking.
Tutorial Preview
A spinner has 2 equal parts. One wins 10¢, one wins 0¢. What is the average prize?
A spinner has 4 parts. One wins 12¢, three win 0¢. What is the average prize?
A game costs 5¢ to play. The average prize is 8¢. Is it a good deal?
Sample Practice Questions
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Frequently asked questions
What grade level is "Expected values for a game of chance"?
Expected values for a game of chance is a Grade 4 Mathematics lesson on ExcelOS.
What will I learn in Expected values for a game of chance?
You'll be able to: Calculate the expected value of a simple game of chance (e.g., coin toss, dice roll) by correctly applying the formula: E(X) = Σ [x * P(x)] for at least 3 different games, demonstrating procedural fluency; Explain, in writing….
Is "Expected values for a game of chance" free to practice?
Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.
How many practice questions are included with Expected values for a game of chance?
This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.