A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 σελίδες |
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Σελίδα 507
... ball from a bag which con- tains 5 white and 7 red balls . Here any one ball is as likely to be drawn as any other ; thus there are 7 favourable and 5 unfavourable cases which are all equally 7 likely ; the required probability is ...
... ball from a bag which con- tains 5 white and 7 red balls . Here any one ball is as likely to be drawn as any other ; thus there are 7 favourable and 5 unfavourable cases which are all equally 7 likely ; the required probability is ...
Σελίδα 509
... white balls in succession from a bag containing 5 red and 7 white balls , the balls drawn not being re- placed . 7 The chance of drawing a white ball the first time is ; and , 12 having drawn a white ball the first time , there will be 5 ...
... white balls in succession from a bag containing 5 red and 7 white balls , the balls drawn not being re- placed . 7 The chance of drawing a white ball the first time is ; and , 12 having drawn a white ball the first time , there will be 5 ...
Σελίδα 515
... ball has been drawn at random from a bag containing 99 black balls and 1 white ball ; and a man whose statements are accurate 9 times out of 10 asserts that the white ball was drawn . Find the chance that the white ball was really drawn ...
... ball has been drawn at random from a bag containing 99 black balls and 1 white ball ; and a man whose statements are accurate 9 times out of 10 asserts that the white ball was drawn . Find the chance that the white ball was really drawn ...
Σελίδα 517
... balls , and all numbers of white balls from 0 to n are equally likely ; find the chance that r white balls in succes- sion will be drawn , the balls not being replaced . 1 n + 1 The chance that the bag contains s white balls is ; and ...
... balls , and all numbers of white balls from 0 to n are equally likely ; find the chance that r white balls in succes- sion will be drawn , the balls not being replaced . 1 n + 1 The chance that the bag contains s white balls is ; and ...
Σελίδα 519
... white balls and five black are placed in a bag , and three men draw a ball in succession ( the balls drawn not being replaced ) until a white ball is drawn : shew that their respective chances are as 27 : 18 : 11 . 4. What is the most ...
... white balls and five black are placed in a bag , and three men draw a ball in succession ( the balls drawn not being replaced ) until a white ball is drawn : shew that their respective chances are as 27 : 18 : 11 . 4. What is the most ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c a₁ arithmetic mean arithmetical progression ax² b₁ binomial Binomial Theorem C₁ Cambridge coefficient contain continued fraction Crown 8vo denominator determinant digits divergent divide divisible divisor Edition equal equation ax example expansion Extra fcap Fcap Find the number Find the sum follows geometrical progression given expression Globe 8vo greater Hence the required infinity letters logarithm MACMILLAN'S Multiply negative nth convergent nth root nth term number of terms obtained P₁ periodic continued fraction positive integer powers prime number Professor prove quadratic equation quadratic surd quotient ratio remainder School Shew Solve the equation square root subtract suppose Theorem Trinity College u₁ unknown quantities white ball whole number zero
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