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" In general, if an event may happen in a ways, and fail in b ways, and each of these ways is equally likely to occur, the probability of its happening is -, and the probability of its failing is... "
A College Algebra - Page 237
by James Morford Taylor - 1889 - 317 pages
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 3

John Mason Good - 1819 - 694 pages
...expectation is — . But in the following article« we «uppose the value of certainty to be unity. 2. If an event may happen in a ways, and fail in b ways, any of these being equally probable, the chance of its happening is — — , and the chance of its...
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Elements of algebra, by A. Ingram and J. Trotter

Alexander Ingram - 1844 - 262 pages
...thrown, the chance that it presents an ace is J, and the chances of not throwing an ace are |. PUOP. I. If an event may happen in a ways, and fail in b ways, any of these being equally probable, the chance of its happening is , and the chance of its failing...
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Algebra

Isaac Todhunter - Algebra - 1858 - 528 pages
...loss than jV, and which have iu common with N one and only one prime factor. LIII. PROBABILITY. 714. If an event may happen in a ways and fail in b ways, and all these ways are equally likely to occur, the probability of its happening is • 7, and the probability...
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A Treatise on the Elements of Algebra

James Bryce - 1861 - 376 pages
...any one of m specified ways, by — h — H — , &c., to m nnn lm » terms = m . - = — . nn 277. If an event may happen in a ways, and fail in b ways, then the probability of its happening is to the probability of its failing, as a to b ; hence, the...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 580 pages
...Shew that the 100th power of any number is of the form 125w or 125?» + 1. LIII. PROBABILITY. 714. If an event may happen in a, ways and fail in b ways, and all these ways are equally likely to occur, the probability of its happening is T , and the probability...
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Elements of the Method of Least Squares

Mansfield Merriman - Least squares - 1877 - 220 pages
...the number of ways in which an event may happen or fail to the total number of possible ways. Thus if an event may happen in a ways and fail in b ways, and each of these ways is equally likely to occur, the probability of its happening is r , and the probability of its failing is j . Thus a...
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Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - Mathematics - 1880 - 116 pages
...133. WILSON'S THEOREM — If n be a prime number, i + |?z— i is divisible by n. PROBABILITY. 134. If an event may happen in a ways, and fail in b ways, all these ways being equally likely to occur, .(i) Probability of its happening _ a ~ a+H (ii) Probability...
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Companion to algebra

Leonard Marshall - 1883 - 164 pages
...is meant the ratio of the chance of its happening to the chance of its failing, or vice versa. Thus if an event may happen in a ways and fail in b, the chances of its happening and failing are — а-^ and f respectively ; and the odds for a + о...
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A Text-book on the Method of Least Squares

Mansfield Merriman - Least squares - 1884 - 272 pages
...probability of throwing the ace in one trial is \, and the probability of not throwing it is $. In general, if an event may happen in a ways, and fail in b ways, and each of these ways is equally likely to occur, the probability of its happening is - - , and the probability of its failing is . Thus probability...
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A Text Book on the Method of Least Squares

Mansfield Merriman - Least squares - 1884 - 214 pages
...probability of throwing the ace in one trial is \, and the probability of not throwing it is |-. In general, if an event may happen in a ways, and fail in b ways, and each of these ways is equally likely to occur, the probability of its happening is -, and the probability of its failing is . Thus probability...
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