A Companion to Wrigley's Collection of Examples: Being Illustrations of Mathematical Processes and Methods of Solution |
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Page 59
... drawn from the first bag ; the chance of this is 7 Then the chance of drawing the same letter from the second bag == ; 12 • .. the required probability 7 I = X = 12 7 12 I • 5. The chance of drawing a white ball each time CHANCES OR ...
... drawn from the first bag ; the chance of this is 7 Then the chance of drawing the same letter from the second bag == ; 12 • .. the required probability 7 I = X = 12 7 12 I • 5. The chance of drawing a white ball each time CHANCES OR ...
Page 60
... a time = · 3.2 = 3 . I 2 Of these , the chance that a particular couple is drawn = ..the required chance the compound chance = I 113 == - = 13. The sum of the favorable and unfavorable events equal 3 6 60 CHANCES OR PROBABILITIES .
... a time = · 3.2 = 3 . I 2 Of these , the chance that a particular couple is drawn = ..the required chance the compound chance = I 113 == - = 13. The sum of the favorable and unfavorable events equal 3 6 60 CHANCES OR PROBABILITIES .
Page 62
... drawn will all be white The probability that the n balls drawn will be ( n - 1 ) white , and I black = n ( n − 2 ) -- and 2 = ...... " ...... - ( n − r ) . ....... and r = an - 1b ( a + b ) n " n ( n − 1 ) ̄ ̄ an − 2zz - I.2 ( a + b ) ...
... drawn will all be white The probability that the n balls drawn will be ( n - 1 ) white , and I black = n ( n − 2 ) -- and 2 = ...... " ...... - ( n − r ) . ....... and r = an - 1b ( a + b ) n " n ( n − 1 ) ̄ ̄ an − 2zz - I.2 ( a + b ) ...
Page 63
... drawn = n − r = 10 . 20. The number of ways in which this can be done is expressed by the coefficient of x16 in the expansion of ( x + x2 + x3 + x2 + x5 + x6 ) * , which coefficient , found by the Multinomial Theorem , is 6 + 24 + 12 + ...
... drawn = n − r = 10 . 20. The number of ways in which this can be done is expressed by the coefficient of x16 in the expansion of ( x + x2 + x3 + x2 + x5 + x6 ) * , which coefficient , found by the Multinomial Theorem , is 6 + 24 + 12 + ...
Page 97
... Draw AF perpendicular to CD , and produce it to E , making FE equal to AF , and join BE cutting CD in G. Join also AG . Then AG and BG make equal angles with CD . For since AF is equal to FE , and FG is common to the two triangles AGF ...
... Draw AF perpendicular to CD , and produce it to E , making FE equal to AF , and join BE cutting CD in G. Join also AG . Then AG and BG make equal angles with CD . For since AF is equal to FE , and FG is common to the two triangles AGF ...
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A Companion to Wrigley's Collection of Examples: Being Illustrations of ... John Thompson Platts,Alfred Wrigley No preview available - 2016 |
Common terms and phrases
a+b+c a²+b² a²b³ AB² ABCD AC² angle ABC axis BC² beam centre of gravity chord circle co-ordinates coefficient cos² cos³ cosec² curve diameter draw ellipse equal equilateral Eucl Hence hyperbola Join latus rectum Let ABC middle point MULTINOMIAL THEOREMS parabola parallel perpendicular plane point of contact point of intersection r₁ radius required locus right angle roots S₁ sec² segment sides Similarly sin² sin³ square straight line tan² tangent term transformed equation triangle ABC values vertical weight whence X₁