Expected Value | Definition and Practical Example with a Game Spinner
In this video, we dive into the concept of expected value, a fundamental concept in probability and statistics used to predict the average outcome of a random event over time. We begin with the formula for expected value and explain how it is calculated for a series of possible outcomes and probabilities. To illustrate, we use a game with a spinner where you pay $1 to play and can win various amounts. By calculating the expected winnings, we reveal whether or not the game is fair (spoiler: you actually lose money in the long run).
What You Will Learn:
Definition and formula for expected value in probability.
Step-by-step application of expected value in a real-life scenario.
How to analyze whether a game is fair or profitable based on expected value.
This video is perfect for anyone looking to understand expected value, from students learning probability basics to anyone interested in game theory and fair games.
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