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board game prob.

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Manager
Manager
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Joined: 24 Nov 2010
Posts: 212
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
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Kudos [?]: 35 [0], given: 7

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board game prob. [#permalink] New post 11 Dec 2011, 09:24
00:00
A
B
C
D
E

Difficulty:

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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability the piece ends no more than 7 spaces from the square numbered 49?
(A) 7%
(B) 8%
(C) 14%
(D) 15%
(E) 28%
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Joined: 22 Nov 2011
Posts: 8
Location: United States
Schools: Carroll '15
GMAT Date: 01-12-2012
GPA: 3.17
WE: Sales (Investment Banking)
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Kudos [?]: 6 [0], given: 1

Re: board game prob. [#permalink] New post 11 Dec 2011, 10:38
E?

1-P trick

Prob that you don't land within 14 spaces of 49 (1 to 34, so tech 35 and 64 to 100, so 37 spots- together 72 spots out of 100

1-72%= 28%

Please help me here...my first stab trying to stay close to 2 min mark. Thx
Manager
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Joined: 26 Apr 2011
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Kudos [?]: 31 [0], given: 12

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Re: board game prob. [#permalink] New post 11 Dec 2011, 22:06
OA is E

required prob is 7 spaces any side of 49.
so total 14 spaces are required in 7 moves which can be achieved by max 7 move on any side
so total spaces = 28
probability = 28%
Re: board game prob.   [#permalink] 11 Dec 2011, 22:06
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