Feel why a possible loss looms larger than an equal gain — and how the framing of a bet flips the choice.
See why people are risk-averse for gains but risk-seeking to avoid losses, and how framing exploits that asymmetry.
With the default favorable bet, compare its expected value to its prospect value.
Before you act, predict what will happen. The expected value is positive — why would a person still turn the bet down? Then do it — did your prediction match what happened?
The value function
Subjective value bends differently for gains and losses: concave above the reference point, convex and steeper below it. The dots are the gamble's two outcomes.
Prospect theory, developed by Daniel Kahneman and Amos Tversky, describes how people actually decide under risk — which often differs from the "expected value" a calculator would pick. Two ideas do most of the work. First, we judge outcomes as gains and losses relative to a reference point (usually where we are now), not as final wealth. Second, losses loom larger than equal gains: losing $100 hurts more than winning $100 pleases, roughly twice as much. This loss aversion makes us cautious when we are ahead and protecting a gain, yet willing to take risks to avoid a sure loss. Because the reference point is chosen, the same choice can be described — "framed" — as a gain or a loss, and the framing alone can flip the decision: a policy that "saves 200 of 600 people" feels better than one where "400 of 600 die", though the numbers are identical. Prospect theory also says we overweight small probabilities and underweight large ones, which is why the same person buys both lottery tickets and insurance. It doesn't claim people are foolish — it maps the predictable shape of real choices, which is what makes those choices easier to anticipate.
You face the same bet described two ways — once as a gain, once as an equivalent loss — and watch your own preference switch, even though the odds and payoffs never change. Feeling the switch is the fastest way to see that framing and a reference point, not just the math, drive risky choices.