Expected Value

2023-09-06

Expected Value is used in statistics, gambling, and other domains to measure the expected profitability of a given decision. It is calculated by multiplying each possible outcome by the probability of that outcome occurring, then summing these results:

EV = āˆ‘ [P(x) * X]

  • P(x) is the probability of each outcome,
  • X is the value of each outcome,
  • āˆ‘ indicates the sum across all possible outcomes.

Suppose a person wants to buy a car. The person is trying to choose between a Toyota Camry and a Honda Civic. Some common metrics to consider (the list is shortened for simplicity): initial price, operating costs, resale value, reliability. Comparison below is just an example, it can be extended with other metrics that might impact a decision. For instance, you can weigh your decision with customer satisfaction, or personal preferences.

FactorHonda CivicToyota Camry
Initial Price$15,000$18,000
Operating Costs (5 years)$14,700$16,400
Resale Value (after 5 years)-$9,000-$10,800
ReliabilityHigh (Hondas are known for their reliability)High (Toyotas are known for their reliability)
Total Cost over 5 years$20,700$23,600
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