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A point (x, y) is randomly picked from inside the rectangle with verti

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A point (x, y) is randomly picked from inside the rectangle with verti  [#permalink]

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New post 19 Mar 2019, 02:25
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A
B
C
D
E

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  65% (hard)

Question Stats:

47% (02:27) correct 53% (01:26) wrong based on 30 sessions

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A point (x, y) is randomly picked from inside the rectangle with verti  [#permalink]

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New post 19 Mar 2019, 04:35
Bunuel wrote:
A point (x, y) is randomly picked from inside the rectangle with vertices (0, 0), (4, 0), (4, 1), and (0, 1). What is the probability that x < y ?

(A) 1/8
(B) 1/4
(C) 3/8
(D) 1/2
(E) 3/4


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Answer: Option A
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Re: A point (x, y) is randomly picked from inside the rectangle with verti  [#permalink]

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New post 19 Mar 2019, 05:38
Bunuel wrote:
A point (x, y) is randomly picked from inside the rectangle with vertices (0, 0), (4, 0), (4, 1), and (0, 1). What is the probability that x < y ?

(A) 1/8
(B) 1/4
(C) 3/8
(D) 1/2
(E) 3/4



total area of the rectangle ; 4*1 = 4 units
and the region where y>x will be in range to 1,1 points forming isosceles triangle area ; 1/2 * 1*1 = 1/2
so 1/2/4 = 1/8
IMO A
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Re: A point (x, y) is randomly picked from inside the rectangle with verti   [#permalink] 19 Mar 2019, 05:38
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