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2 - Thinking Like a Gambler: For All the Gambles of Life

from Part I - Analytics: Probability, Evaluation, Decision Trees, and Strategies for Decision Making

Published online by Cambridge University Press:  23 October 2025

Harvey J. Langholtz
Affiliation:
William & Mary
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Summary

Decisions are often made in an environment of risk, where the decision maker considers probabilities and possible outcomes. But in order to make a decision under risk, the decision maker must first determine the probabilities of the possible outcomes.

Through experience and observation, people estimate the probability of future events. The probability of an event can be determined as the number of instances of the particular event divided by the total number of possible events. With the tossing of a coin, there are two possible outcomes – a head or a tail – and the probability of either one is ½ or .5. Games of chance, including roulette and lotteries, provide clear examples of how probabilities can be calculated.

When probabilities and outcomes are known, expected value can be calculated and decision makers can use expected value when they analyze possible courses of action and make a decision.

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References

Recommended Reading:

Duke, A. (2019). Thinking in bets: Making smarter decisions when you don’t have all the facts. Penguin.Google Scholar
Silver, N. (2024). On the edge: The art of risking everything. Allen Lane.Google Scholar

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