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Win probabilities are not ratios between magnitudes of desirable and undesirable outcomes. They are the fraction of total possible outcomes that are desirable.
by aidenn0 3y ago
Win probabilities are not ratios between magnitudes of desirable and undesirable outcomes. They are the fraction of total possible outcomes that are desirable. Otherwise a 1/3 win probability would be 1/2 and a 9/10 win probability would be 9.
One number never fully captures the reality. If I have a net worth of 1 penny and I earn a second penny, it is 100% true to say I've doubled my net worth. It also doesn't tell the full story.
If a coach can take an action that would move the win probability from 0.01% to 1%, it would be malpractice to not do so, and correct to say they've increased their win chances by a factor of 100. It's also correct to say they're probably going to lose.