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File: best-approach-over-long-term-overlap-comparison-2024.png

Three bar charts showing how sometimes the outcomes from betting experiments overlap

Image caption

Out of a thousand seasons, there will be some where random betting (top) or imperfect estimates of the chances of winning (middle) will make as much money as betting with perfect knowledge of the probabilities (bottom). Inevitable negative outcomes can be one of the hardest things for people to accept about forecasts that use probabilities. NOAA Climate.gov image, based on data provided by Brian Zimmerman.