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14 May 2019, 00:02
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B
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Difficulty:
55%
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Question Stats:
59% (01:45) correct
41%
(02:29)
wrong
based on 188
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A box contains 28 red balls, 20 green balls, 19 yellow balls, 13 blue balls, 11 white balls, and 9 black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 15 balls of a single color will be drawn ?
A. 75
B. 76
C. 79
D. 84
E. 91
A. 75
B. 76
C. 79
D. 84
E. 91
14 May 2019, 00:55
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Bunuel
A box contains 28 red balls, 20 green balls, 19 yellow balls, 13 blue balls, 11 white balls, and 9 black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 15 balls of a single color will be drawn ?
A. 75
B. 76
C. 79
D. 84
E. 91
A. 75
B. 76
C. 79
D. 84
E. 91
Total number of balls = 28 + 20 + 19 + 13 + 11 + 9 = 100
Minimum number of balls drawn as required = 100 - 15 - 1 = 84
IMO 84 (D)
14 May 2019, 00:57
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Bunuel
A box contains 28 red balls, 20 green balls, 19 yellow balls, 13 blue balls, 11 white balls, and 9 black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 15 balls of a single color will be drawn ?
A. 75
B. 76
C. 79
D. 84
E. 91
A. 75
B. 76
C. 79
D. 84
E. 91
so as to get at least 15 balls of single color we need to take out
14 red,14 green, 14 yellow,13 blue ,11 white & 9 black ; total 75 ; picking 1 more ball will assure 15 balls of a single color; 76
IMO B
