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# A bag contains x blue chips and y red chips. If the probability of sel

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Math Expert
Joined: 02 Sep 2009
Posts: 51035
A bag contains x blue chips and y red chips. If the probability of sel  [#permalink]

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23 Aug 2018, 03:31
00:00

Difficulty:

15% (low)

Question Stats:

73% (00:41) correct 27% (00:41) wrong based on 48 sessions

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A bag contains x blue chips and y red chips. If the probability of selecting a red chip at random is 3/7, then x/y =

A. 7/11
B. 3/4
C. 7/4
D. 4/3
E. 11/7

_________________
Director
Joined: 20 Feb 2015
Posts: 796
Concentration: Strategy, General Management
Re: A bag contains x blue chips and y red chips. If the probability of sel  [#permalink]

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23 Aug 2018, 03:39
Bunuel wrote:
A bag contains x blue chips and y red chips. If the probability of selecting a red chip at random is 3/7, then x/y =

A. 7/11
B. 3/4
C. 7/4
D. 4/3
E. 11/7

probability = $$\frac{red}{(red + blue)}$$= $$\frac{3}{7}$$
that means blue = 4

$$\frac{blue}{red}$$ =$$\frac{4}{3}$$
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: A bag contains x blue chips and y red chips. If the probability of sel  [#permalink]

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23 Aug 2018, 10:53
Bunuel wrote:
A bag contains x blue chips and y red chips. If the probability of selecting a red chip at random is 3/7, then x/y =

A. 7/11
B. 3/4
C. 7/4
D. 4/3
E. 11/7

Given #Blue chips=x, #Red chips=y
Given $$P(R)=\frac{3}{7}$$
Or, $$\frac{y}{x+y}=\frac{3}{7}$$
Or, 7y=3x+3y
Or, 4y=3x
Or, $$\frac{x}{y}=\frac{4}{3}$$

Ans. (D)
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PKN

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Director
Joined: 31 Oct 2013
Posts: 837
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
A bag contains x blue chips and y red chips. If the probability of sel  [#permalink]

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23 Aug 2018, 13:59
Bunuel wrote:
A bag contains x blue chips and y red chips. If the probability of selecting a red chip at random is 3/7, then x/y =

A. 7/11
B. 3/4
C. 7/4
D. 4/3
E. 11/7

Probability of Red chips:

$$\frac{y}{x + y}$$

Given ,

Blue: x

Red : y

$$\frac{y}{x + y}$$ = $$\frac{3}{7}$$
So, x is 4.

Now we are looking for $$\frac{x}{y}$$.

$$\frac{x}{y}$$ =$$\frac{4}{3}$$
The best answer is D.
A bag contains x blue chips and y red chips. If the probability of sel &nbs [#permalink] 23 Aug 2018, 13:59
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# A bag contains x blue chips and y red chips. If the probability of sel

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