Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Σελίδα 438
... event may happen in a ways and fail in 6 ways , and all these ways are equally likely to occur , the probability of its happening is b a + b ' α a + b ' and the probability of its failing is This may be regarded as a definition of the ...
... event may happen in a ways and fail in 6 ways , and all these ways are equally likely to occur , the probability of its happening is b a + b ' α a + b ' and the probability of its failing is This may be regarded as a definition of the ...
Σελίδα 439
... event is repre- α sented by a + b ' 715. Hence if p be the probability of the happening of an event , 1 - p is the probability of its failing . 716. The word chance is often used in mathematical works as synonymous with probability ...
... event is repre- α sented by a + b ' 715. Hence if p be the probability of the happening of an event , 1 - p is the probability of its failing . 716. The word chance is often used in mathematical works as synonymous with probability ...
Σελίδα 441
... events happen , in bb ' of them both events fail , in ab ' of them the first event happens and the second fails , and in ab of them the first event fails and the second happens . Thus aa ( a + b ) ( a ' + PROBABILITY . 441.
... events happen , in bb ' of them both events fail , in ab ' of them the first event happens and the second fails , and in ab of them the first event fails and the second happens . Thus aa ( a + b ) ( a ' + PROBABILITY . 441.
Σελίδα 442
... events happen , is the probability that both events fail , ( is the probability that the first event happens and ( a + b ) ( a + b ) the second event fails , a'b ( a + b ) ( a + b ) is the probability that the first event fails and the ...
... events happen , is the probability that both events fail , ( is the probability that the first event happens and ( a + b ) ( a + b ) the second event fails , a'b ( a + b ) ( a + b ) is the probability that the first event fails and the ...
Σελίδα 443
... event is 1 6 " 5 5 T hence the required chance is 36 * and of the second simple event ( 2 ) Suppose 3 white balls , 4 black balls , and 5 red balls to be thrown promiscuously into a bag ; required the chance that in two successive ...
... event is 1 6 " 5 5 T hence the required chance is 36 * and of the second simple event ( 2 ) Suppose 3 white balls , 4 black balls , and 5 red balls to be thrown promiscuously into a bag ; required the chance that in two successive ...
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Άλλες εκδόσεις - Προβολή όλων
Algebra for the Use of Colleges and Schools: With Numerous Examples Isaac Todhunter Πλήρης προβολή - 1866 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c arithmetical arithmetical mean ax² b₁ Binomial Theorem black balls chance coefficient common measure contains continued fraction convergent cube root digits divided divisible divisor equal event example expansion Extract the square factors find the number given equations given number greater than unity greatest Hence least common multiple less than unity letters logarithm meaning multiply negative quantity nth term number of combinations number of terms obtain occur P₁ P₂ positive integers positive quantity preceding Article prime number probability prove quadratic equation quadratic surd quotient radix ratio remainder respectively result scale shew shewn shillings Similarly solution square number square root subtraction suppose surd unknown quantities white balls whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 511 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Σελίδα 55 - If the numerator and denominator be divided by the same number, the value of the fraction is not altered.
Σελίδα 512 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 319 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Σελίδα 277 - To find the number of permutations of n things taken r at a time. Suppose...
Σελίδα 130 - Separate the given number into periods, by pointing every second figure, beginning with the units' place. find the greatest square in the left-hand period, and...
Σελίδα 12 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Σελίδα 15 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Σελίδα 331 - An infinite series is said to be divergent when the sum of the first n terms can be made numerically greater than any finite quantity by taking n sufficiently great.
Σελίδα 83 - В contains 9 gallons of wine and 3 gallons of water ; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water ? 33.