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In a recent street fair students were challenged to hit one of the sha

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In a recent street fair students were challenged to hit one of the sha [#permalink]

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New post 07 Sep 2016, 04:27
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In a recent street fair students were challenged to hit one of the shaded triangular regions on the large equilateral triangular board below with a ping pong ball. Each of the triangular regions is an equilateral triangle whose side is a third of the length of the large triangle board. If the ping pong ball hits the large triangular region, what is the probability of hitting a shaded triangle?

A. 1/5
B. 1/4
C. 1/3
D. 1/2
E. 2/3

[Reveal] Spoiler:
Attachment:
T7080.png
T7080.png [ 6.37 KiB | Viewed 1095 times ]
[Reveal] Spoiler: OA

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Re: In a recent street fair students were challenged to hit one of the sha [#permalink]

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New post 07 Sep 2016, 05:49
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Bunuel wrote:
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In a recent street fair students were challenged to hit one of the shaded triangular regions on the large equilateral triangular board below with a ping pong ball. Each of the triangular regions is an equilateral triangle whose side is a third of the length of the large triangle board. If the ping pong ball hits the large triangular region, what is the probability of hitting a shaded triangle?

A. 1/5
B. 1/4
C. 1/3
D. 1/2
E. 2/3

[Reveal] Spoiler:
Attachment:
T7080.png


Since, the side of each smaller equilateral = 1/3 side of larger equilateral, we can say ratio of areas = 1/9 ( as the area of equilateral triangle is sqrt(3)/4 *a^2)

Ratio of areas of 3 such smaller to the overall = 3 *1/9 = 1/3.

Hence, C
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Re: In a recent street fair students were challenged to hit one of the sha [#permalink]

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New post 20 Nov 2017, 00:55
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Re: In a recent street fair students were challenged to hit one of the sha   [#permalink] 20 Nov 2017, 00:55
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