An Introduction to Mathematical Probability
The scope and meaning of mathematical probability. Elementary principles of probability. Bernoulli's theorem. Mean value and dispersion. Geometrical probability. Probability of causes. Errors of observations. Errors in many variables. Indirect observations. The statistical theory of gases. The principles of life insurance.
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Discussion of the formula equally likely
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accidental errors annuity approximate assume Banker Bernoulli Bernoulli's theorem Bertrand best value Buffon's needle called centre chapter coefficients coin constant Czuber definition discrepancy dispersion ellipse event Example expectation expression favourable formula function fundamental give given greater happen Hence increases indefinitely independent variables infinite number infinitesimal integral large number law of error less limit Maclaurin series mathematical mathematical induction mean error mean value measurements method multiplied mutually exclusive mutually exclusive events normal equations number of molecules number of successes number of trials observed values oval Peirce's Criterion Player Player's chance premium priori probability prob probability for success problem proportional quantity random ratio region replace residual square stake statistical Stirling's formula Suppose takes the value total number true value turn vis viva weighted mean white balls zero