Mathematics category

Probability calculators

Chance models, event relationships and distributions.

242 calculators in this category. Page 2 of 6.

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Probability

Poisson Mean from Rate and Exposure: solve event rate per exposure unit

Rearrange the poisson mean from rate and exposure relationship and solve for event rate per exposure unit.

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Probability

Poisson Mean from Rate and Exposure: solve total exposure

Rearrange the poisson mean from rate and exposure relationship and solve for total exposure.

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Probability

Markov Transition Probability Flow

Calculate joint transition probability from source-state probability and conditional transition probability.

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Probability

Markov Transition Probability Flow: solve source-state probability

Rearrange the markov transition probability flow relationship and solve for source-state probability.

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Probability

Markov Transition Probability Flow: solve conditional transition probability

Rearrange the markov transition probability flow relationship and solve for conditional transition probability.

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Probability

Effective State Count from Entropy

Calculate effective states from state-count scale and entropy in nats.

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Probability

Effective State Count from Entropy: solve state-count scale

Rearrange the effective state count from entropy relationship and solve for state-count scale.

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Probability

Effective State Count from Entropy: solve entropy in nats

Rearrange the effective state count from entropy relationship and solve for entropy in nats.

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Probability

Probability-Weighted Payoff Contribution

Calculate expected-value contribution from outcome probability and outcome payoff.

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Probability

Probability-Weighted Payoff Contribution: solve outcome probability

Rearrange the probability-weighted payoff contribution relationship and solve for outcome probability.

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Probability

Probability-Weighted Payoff Contribution: solve outcome payoff

Rearrange the probability-weighted payoff contribution relationship and solve for outcome payoff.

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Probability

Inverse Probability Weight

Calculate inverse probability weight from selection probability and weight scale.

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Probability

Inverse Probability Weight: solve selection probability

Rearrange the inverse probability weight relationship and solve for selection probability.

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Probability

Inverse Probability Weight: solve weight scale

Rearrange the inverse probability weight relationship and solve for weight scale.

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Probability

Effective Outcomes from Entropy Bits

Calculate effective outcome count from outcome base per bit and entropy in bits.

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Probability

Effective Outcomes from Entropy Bits: solve outcome base per bit

Rearrange the effective outcomes from entropy bits relationship and solve for outcome base per bit.

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Probability

Effective Outcomes from Entropy Bits: solve entropy in bits

Rearrange the effective outcomes from entropy bits relationship and solve for entropy in bits.

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Probability

Likelihood Geometric Factor

Calculate geometric likelihood factor from positive likelihood scale and mean log-likelihood.

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Probability

Likelihood Geometric Factor: solve positive likelihood scale

Rearrange the likelihood geometric factor relationship and solve for positive likelihood scale.

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Probability

Likelihood Geometric Factor: solve mean log-likelihood

Rearrange the likelihood geometric factor relationship and solve for mean log-likelihood.

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Probability

Information Gain Difference

Calculate information gain from prior uncertainty measure and posterior uncertainty measure.

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Probability

Information Gain Difference: solve prior uncertainty measure

Rearrange the information gain difference relationship and solve for prior uncertainty measure.

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Probability

Information Gain Difference: solve posterior uncertainty measure

Rearrange the information gain difference relationship and solve for posterior uncertainty measure.

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Probability

Expected Pair Collision Count

Calculate expected collisions from candidate pair count and per-pair collision probability.

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Probability

Expected Pair Collision Count: solve candidate pair count

Rearrange the expected pair collision count relationship and solve for candidate pair count.

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Probability

Expected Pair Collision Count: solve per-pair collision probability

Rearrange the expected pair collision count relationship and solve for per-pair collision probability.

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Probability

Mutual Information from Entropy Reduction

Calculate mutual information from marginal entropy and conditional entropy.

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Probability

Mutual Information from Entropy Reduction: solve marginal entropy

Rearrange the mutual information from entropy reduction relationship and solve for marginal entropy.

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Probability

Mutual Information from Entropy Reduction: solve conditional entropy

Rearrange the mutual information from entropy reduction relationship and solve for conditional entropy.

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Probability

Conditional Entropy from Joint Entropy

Calculate conditional entropy h(x|y) from joint entropy h(x,y) and conditioning-variable entropy h(y).

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Probability

Conditional Entropy from Joint Entropy: solve joint entropy H(X,Y)

Rearrange the conditional entropy from joint entropy relationship and solve for joint entropy h(x,y).

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Probability

Conditional Entropy from Joint Entropy: solve conditioning-variable entropy H(Y)

Rearrange the conditional entropy from joint entropy relationship and solve for conditioning-variable entropy h(y).

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Probability

Kullback–Leibler Divergence from Cross-Entropy Gap

Calculate kl divergence d(p||q) from cross entropy h(p,q) and source entropy h(p).

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Probability

Kullback–Leibler Divergence from Cross-Entropy Gap: solve cross entropy H(P,Q)

Rearrange the kullback–leibler divergence from cross-entropy gap relationship and solve for cross entropy h(p,q).

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Probability

Kullback–Leibler Divergence from Cross-Entropy Gap: solve source entropy H(P)

Rearrange the kullback–leibler divergence from cross-entropy gap relationship and solve for source entropy h(p).

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Probability

Absolute Risk Difference

Calculate signed risk difference from first event risk and second event risk.

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Probability

Absolute Risk Difference: solve first event risk

Rearrange the absolute risk difference relationship and solve for first event risk.

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Probability

Absolute Risk Difference: solve second event risk

Rearrange the absolute risk difference relationship and solve for second event risk.

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Probability

Relative Risk Reduction Percentage

Calculate relative risk reduction percentage from absolute risk reduction and control-group event risk.

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Probability

Relative Risk Reduction Percentage: solve absolute risk reduction

Rearrange the relative risk reduction percentage relationship and solve for absolute risk reduction.

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Probability

Relative Risk Reduction Percentage: solve control-group event risk

Rearrange the relative risk reduction percentage relationship and solve for control-group event risk.

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Probability

Number Needed from Absolute Risk Reduction

Calculate number needed from absolute risk reduction and unit probability scale.

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Probability

Number Needed from Absolute Risk Reduction: solve absolute risk reduction

Rearrange the number needed from absolute risk reduction relationship and solve for absolute risk reduction.

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Probability

Number Needed from Absolute Risk Reduction: solve unit probability scale

Rearrange the number needed from absolute risk reduction relationship and solve for unit probability scale.

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Probability

Independent Random-Walk RMS Displacement

Calculate root-mean-square displacement from squared step length and independent step count.

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Probability

Independent Random-Walk RMS Displacement: solve squared step length

Rearrange the independent random-walk rms displacement relationship and solve for squared step length.

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Probability

Independent Random-Walk RMS Displacement: solve independent step count

Rearrange the independent random-walk rms displacement relationship and solve for independent step count.

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Probability

Normalized Mutual Information Percentage

Calculate normalized mutual information percentage from mutual information and selected entropy normalization.

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