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very hard prob question for gmat

Expert replies
by quantskillsgmat » Wed Dec 14, 2011 12:32 am
If we have an empty room, and every week there is a 0.6 probability for a person to join, 0.2 probability for a person to leave, and 0.2 probability for no change (only one action can be performed per week), what is the probability that there are at least 40 people in the room after 104 weeks?

(A) 0.42
(B) 0.55
(C) 0.61
(D) 0.67
(E) 0.74
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Source: — Problem Solving |

by rijul007 » Wed Dec 14, 2011 1:03 am
This qn is tooooo lengthy
Out of scope for GMAT
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