Практическое

Probability Odds

Odds Calculator

Благоприятные исходы

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Что такое Probability Odds?

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A probability and odds converter switches between probability (0–1 or %), fractional odds (a:b), decimal odds, and frequency (1 in n). All express the same likelihood differently.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

Формула

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f(x)Probability (0-1 or %) = favourable outcomes / total outcomes; Odds = probability / (1 − probability)

Описание переменных

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Символ	Имя	Единица	Описание
P	Probability	0 to 1 or 0-100%	—
O	Odds	ratio (a:b or a/b)	—

Как Probability Odds

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1Probability p → Fractional odds: (1−p)/p
2Fractional odds a/b → Probability: b/(a+b)
3Decimal odds d → Probability: 1/d
4Frequency "1 in n" → Probability: 1/n

Решённые примеры

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Пример 1

Дано:Probability 0.25 (25%)

Результат:Fractional: 3/1 (3:1 against); Decimal: 4.0; Frequency: 1 in 4

Практическое применение

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Sports betting and risk assessment

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Weather forecasts ("40% chance")

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Medical diagnosis likelihood

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Game design and probability

Probability vs Odds Comparison

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Probability	Fractional odds	Decimal odds	Frequency
50%	1/1 (evens)	2.0	1 in 2
25%	3/1	4.0	1 in 4
10%	9/1	10.0	1 in 10
1%	99/1	100.0	1 in 100
0.1%	999/1	1000.0	1 in 1,000

Часто задаваемые вопросы

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What's the difference between probability and odds?

Probability = likelihood (0-1). Odds = ratio of likelihood. P=0.25 = odds 1:3.

If probability is 50%, what are the odds?

Odds are 1:1 (50/50). Same as even odds or "even money".

How do I convert odds to probability?

If odds are a:b, then probability = a / (a+b). Odds 2:3 = 2/(2+3) = 40%.

Источники

›Probability vs odds — Statistics How To

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Reviewed October 2026

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