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text: '[summary: Odds are a tool for expressing *relative* chances. If the odds of a tree in a forest being sick versus healthy are 2 : 3, this says that there are 2 sick trees for every 3 healthy trees. (The *probability* of a tree being sick, in this case, is 2/5 or 40%.)\n\n]\n\n[summary(Technical): Odds express relative chances. If the odds for X versus Y are 2 : 3, this expresses that we think that X is 2/3 = 0.666... times as likely as Y. Clearly, odds of 6 : 9 express the same idea; odds are invariant up to multiplication by a positive factor. When an odds ratio [1rd exhausts all the possibilities], then we can convert its components to probabilities by [1rk normalizing] them so that they sum to 1. In the example above, the probabilities would be $2:3 = \\frac{2}{3+2}:\\frac{3}{3+2} = 0.4:0.6.$\n\n]\n\nOdds are a tool for expressing relative [1rf chances]. If the odds of a tree in a forest being sick versus healthy are 2 : 3, this says that there are 2 sick trees for every 3 healthy trees. (The probability of a tree being sick, in this case, is 2/5 or 40%.)\n\n\n\nOdds are expressed in the form "X to Y", e.g. "7 to 9 for X versus Y", more compactly written as $7:9$.\n\nThe representation of chances as odds is often used in gambling and [-statistics].',
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