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# A bag contains 15 red balls, 12 blue balls and few white bal

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VP
Joined: 20 Jul 2017
Posts: 1137
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
A bag contains 15 red balls, 12 blue balls and few white bal  [#permalink]

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15 Nov 2019, 10:42
1
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:35) correct 35% (01:37) wrong based on 46 sessions

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A bag contains 15 red balls, 12 blue balls and few white balls. What is the maximum number of white balls that can be present in the bag if the probability of picking a white ball is less than 0.25 ?

A. 8
B. 9
C. 10
D. 26
E. 27

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Intern
Joined: 30 Oct 2019
Posts: 15
Location: United Kingdom
Concentration: General Management, Technology
GPA: 4
Re: A bag contains 15 red balls, 12 blue balls and few white bal  [#permalink]

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15 Nov 2019, 11:24
red = 15, blue = 12, white = unknown

let there be w white balls.

w/(15+12+w) < 0.25

Solving for w, w<9

Ans: C
Senior Manager
Joined: 25 Jul 2018
Posts: 381
Re: A bag contains 15 red balls, 12 blue balls and few white bal  [#permalink]

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15 Nov 2019, 12:10
1
15-red
12-blue
w - white
---------
$$\frac{w}{(27+w)} < \frac{1}{4}$$

$$\frac{(4w -27-w)}{(w+27)}< 0$$

--> $$\frac{(3w -27)}{(w+27)} <0$$

w >-27 and w<9

--> the maximum number of w could be 8.

Senior Manager
Joined: 25 Jul 2018
Posts: 381
Re: A bag contains 15 red balls, 12 blue balls and few white bal  [#permalink]

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15 Nov 2019, 12:16
AnirudhaS wrote:
red = 15, blue = 12, white = unknown

let there be w white balls.

w/(15+12+w) < 0.25

Solving for w, w<9

Ans: C

If w= 10, then the probability of picking a white ball is:
—> 10/(15+12+10)= 10/37= 0.27 —more than 0.25

—>the answer should be less then 0.25

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Intern
Joined: 15 Nov 2019
Posts: 2
Re: A bag contains 15 red balls, 12 blue balls and few white bal  [#permalink]

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27 Nov 2019, 19:30

Then, total balls 12+15+9=36
Prob of white= 9/36= 0.25

Since prob is less than 0.25, therefore, the number of white balls has to be less than 9. The highest integer less than 9 is 8.

Posted from my mobile device
Re: A bag contains 15 red balls, 12 blue balls and few white bal   [#permalink] 27 Nov 2019, 19:30
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