A Companion to Wrigley's Collection of Examples: Being Illustrations of Mathematical Processes and Methods of Solution |
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Page 39
... BALLS AND SHELLS . Ex . 51 . 9. Number of balls = } n ( n + 1 ) ( 2n + 1 + 3d ) — — m ( m + 1 ) ( 2m + 1 + 3d ) . 6 -- 6 Here n = 25 + 34 = 59 , and m = 34 ; d = 100-59-41 = 75-34 ; I - .. required number = ( 59 × 60 × 242 – 34 × 35 ...
... BALLS AND SHELLS . Ex . 51 . 9. Number of balls = } n ( n + 1 ) ( 2n + 1 + 3d ) — — m ( m + 1 ) ( 2m + 1 + 3d ) . 6 -- 6 Here n = 25 + 34 = 59 , and m = 34 ; d = 100-59-41 = 75-34 ; I - .. required number = ( 59 × 60 × 242 – 34 × 35 ...
Page 59
... balls to form pairs , one of the first 7 letters must be 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 ... ball each time CHANCES OR PROBABILITIES . 59.
... balls to form pairs , one of the first 7 letters must be 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 ... ball each time CHANCES OR PROBABILITIES . 59.
Page 60
... ball each time therefore the chance of doing so 11 times successively I I I & c . to 11 factors = 2 2 I = I 211 2048 ° 9. The combinations of 10 things , 3 at a time The chance of drawing = 10.9.8 1.2.3 2 gs . and I sov . = 3 ; 2 gs ...
... ball each time therefore the chance of doing so 11 times successively I I I & c . to 11 factors = 2 2 I = I 211 2048 ° 9. The combinations of 10 things , 3 at a time The chance of drawing = 10.9.8 1.2.3 2 gs . and I sov . = 3 ; 2 gs ...
Page 61
... balls , 3 at a time 20 white balls , 7 = 9 5.4.3 1.2.3 20. 19 ... 14 ; = ......... .. the sum of the favorable events = .. the probability required I.2 ... 7 20.19 ... 14 ; 1.2 ... 7 5.4.3 1.2.3 X = X 5.4.3 20.19 ... 14 ÷ 25.24 ... 16 ...
... balls , 3 at a time 20 white balls , 7 = 9 5.4.3 1.2.3 20. 19 ... 14 ; = ......... .. the sum of the favorable events = .. the probability required I.2 ... 7 20.19 ... 14 ; 1.2 ... 7 5.4.3 1.2.3 X = X 5.4.3 20.19 ... 14 ÷ 25.24 ... 16 ...
Page 62
... balls re- spectively ; n the number of bags . The probability of drawing a white ball from each bag black a = a + b ' b = a + b ' n α = a + The proby . that the n balls drawn will all be white The probability that the n balls drawn will ...
... balls re- spectively ; n the number of bags . The probability of drawing a white ball from each bag black a = a + b ' b = a + b ' n α = a + The proby . that the n balls drawn will all be white The probability that the n balls drawn will ...
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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