measuring risk - must know all possible outcomes, probability of each outcome
- sum of probabilities = 1
- objective interpretation - based on past events/experiments
- subjective interpretation - based on educated guess about future
- expected value, variability >> characterize payoff/risk
- expected income (value) = sum of product of probability and payoffs
- probability of each case can change based on personal skills/tendencies
- expected values same >> variability not always the same
- E(X) = probability1(X1) + probability2(X2) + ...
- deviations - difference between expected and actual payoff
- based on deviations from the mean
- standard deviation - measures risk, equal to square root of average of squares of deviations
- Ö(probability1(deviation1)2 + probability2(deviation2)2)
- people generally want less risk