Mathematics category

Probability calculators

Chance models, event relationships and distributions.

242 calculators in this category. Page 1 of 6.

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Probability

Probability

Calculate event probability from favourable and total equally likely outcomes.

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Probability

Combinations and permutations

Count selections when order either matters or does not matter.

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Probability

Odds to probability

Convert odds in favour into probability, percentage probability and odds against.

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Probability

Probability complement

Calculate the probability that an event does not occur.

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Probability

Independent event union

Calculate the chance that at least one of two independent events occurs.

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Probability

Conditional probability

Calculate P(A given B) from the intersection and conditioning event.

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Probability

Expected value

Calculate the weighted mean of three possible outcomes.

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Probability

Binomial exact probability

Calculate exactly k successes in n independent equal-probability trials.

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Probability

Binomial mean and variance

Calculate expected successes, variance and standard deviation.

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Probability

Poisson probability

Calculate the probability of exactly k events at an average rate λ.

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Probability

Bayes theorem

Update a prior probability after a positive observation.

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Probability

Binomial Expected Successes

Calculate expected successes from success probability and trial count.

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Probability

Binomial Expected Successes: solve success probability

Rearrange the binomial expected successes relationship and solve for success probability.

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Probability

Binomial Expected Successes: solve trial count

Rearrange the binomial expected successes relationship and solve for trial count.

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Probability

Independent Event Union

Calculate probability of a or b from probability of a and probability of b.

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Probability

Independent Event Union: solve probability of A

Rearrange the independent event union relationship and solve for probability of a.

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Probability

Independent Event Union: solve probability of B

Rearrange the independent event union relationship and solve for probability of b.

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Probability

Repeated Outcome Tree Count

Calculate terminal paths from outcomes per stage and independent stages.

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Probability

Repeated Outcome Tree Count: solve outcomes per stage

Rearrange the repeated outcome tree count relationship and solve for outcomes per stage.

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Probability

Repeated Outcome Tree Count: solve independent stages

Rearrange the repeated outcome tree count relationship and solve for independent stages.

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Probability

Odds from Outcome Counts

Calculate odds ratio from favourable outcome count and unfavourable outcome count.

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Probability

Odds from Outcome Counts: solve favourable outcome count

Rearrange the odds from outcome counts relationship and solve for favourable outcome count.

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Probability

Odds from Outcome Counts: solve unfavourable outcome count

Rearrange the odds from outcome counts relationship and solve for unfavourable outcome count.

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Probability

Likelihood Ratio

Calculate likelihood ratio from likelihood under first hypothesis and likelihood under second hypothesis.

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Probability

Likelihood Ratio: solve likelihood under first hypothesis

Rearrange the likelihood ratio relationship and solve for likelihood under first hypothesis.

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Probability

Likelihood Ratio: solve likelihood under second hypothesis

Rearrange the likelihood ratio relationship and solve for likelihood under second hypothesis.

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Probability

Posterior Odds Update

Calculate posterior odds from prior odds and bayes factor.

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Probability

Posterior Odds Update: solve prior odds

Rearrange the posterior odds update relationship and solve for prior odds.

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Probability

Posterior Odds Update: solve Bayes factor

Rearrange the posterior odds update relationship and solve for bayes factor.

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Probability

Relative Frequency Ratio

Calculate relative frequency from observed event count and total observation count.

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Probability

Relative Frequency Ratio: solve observed event count

Rearrange the relative frequency ratio relationship and solve for observed event count.

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Probability

Relative Frequency Ratio: solve total observation count

Rearrange the relative frequency ratio relationship and solve for total observation count.

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Probability

Independent Event Intersection

Calculate probability of a and b from probability of event a and probability of event b.

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Probability

Independent Event Intersection: solve probability of event A

Rearrange the independent event intersection relationship and solve for probability of event a.

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Probability

Independent Event Intersection: solve probability of event B

Rearrange the independent event intersection relationship and solve for probability of event b.

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Probability

Bayes Numerator

Calculate unnormalized posterior weight from prior probability and evidence likelihood.

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Probability

Bayes Numerator: solve prior probability

Rearrange the bayes numerator relationship and solve for prior probability.

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Probability

Bayes Numerator: solve evidence likelihood

Rearrange the bayes numerator relationship and solve for evidence likelihood.

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Probability

At Least One Event from Failure Probabilities

Calculate probability of at least one success from failure probability for first independent event and failure probability for second independent event.

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Probability

At Least One Event from Failure Probabilities: solve failure probability for first independent event

Rearrange the at least one event from failure probabilities relationship and solve for failure probability for first independent event.

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Probability

At Least One Event from Failure Probabilities: solve failure probability for second independent event

Rearrange the at least one event from failure probabilities relationship and solve for failure probability for second independent event.

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Probability

Binary Log-Loss Contribution

Calculate log-loss contribution from outcome weight and predicted probability assigned to outcome.

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Probability

Binary Log-Loss Contribution: solve outcome weight

Rearrange the binary log-loss contribution relationship and solve for outcome weight.

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Probability

Binary Log-Loss Contribution: solve predicted probability assigned to outcome

Rearrange the binary log-loss contribution relationship and solve for predicted probability assigned to outcome.

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Probability

Entropy Category Contribution

Calculate entropy contribution in nats from category probability weight and same category probability.

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Probability

Entropy Category Contribution: solve category probability weight

Rearrange the entropy category contribution relationship and solve for category probability weight.

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Probability

Entropy Category Contribution: solve same category probability

Rearrange the entropy category contribution relationship and solve for same category probability.

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Probability

Poisson Mean from Rate and Exposure

Calculate expected event count from event rate per exposure unit and total exposure.

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