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CBSE Class 12-science Answered

Asked by sachinkumarmishra1 | 31 Jan, 2020, 05:17: PM
Expert Answer
Total number of balls = 5 + 9 = 14
Total number of ways of drawing 3 balls without replacement = 14 x 13 x 12
There are three different possbilities of drawing 3 balls such that at least one ball is white
Case 1: 1 white 2 red
Number of ways = 5 x 9 x 8
Case 2: 2 white 1 red
Number of ways = 5 x 4 x 9
Case 3: 3 white 0 red
Number of ways = 5 x 4 x 3
T h e r e f o r e comma space p r o b a b i l i t y space o f space g e t t i n g space a t space l e a s t space 1 space w h i t e space b a l l space i s
P equals fraction numerator 5 cross times 9 cross times 8 over denominator 14 cross times 13 cross times 12 end fraction plus fraction numerator 5 cross times 4 cross times 9 over denominator 14 cross times 13 cross times 12 end fraction plus fraction numerator 5 cross times 4 cross times 3 over denominator 14 cross times 13 cross times 12 end fraction equals fraction numerator 360 plus 180 plus 60 over denominator 14 cross times 13 cross times 12 end fraction equals fraction numerator 600 over denominator 14 cross times 13 cross times 12 end fraction equals 25 over 91
Answered by Arun | 02 Feb, 2020, 10:52: AM
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