Tom and Dick in the office?

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Tom and Dick in the office?

by sanju09 » Fri Jul 30, 2010 6:12 am
A team of workers including Tom and Dick work in the same office according to a schedule that ensures that exactly two team members will be present at a given time, and that in the course of the week all the team members work an equal number of hours. What is the probability that a visitor to the office who doesn't know the schedule arrives to find both Tom and Dick in the office?

1. The team has three members.
2. Tom and Dick worked together for the whole of the previous day.

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by outreach » Sat Jul 31, 2010 2:19 am
is it E?
we do not know the amt of time needed to be spent in office
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by gs_bah » Sun Aug 22, 2010 2:14 am
I think it is A

Statement 1:

There are three members A,B,C.

For the office to be staffed at all times one of the following staff combinations is required. AB, AC, BC in equal time proportions.

Therefore the probability that Tom & Dick both work is 1/3

Sufficient

Statement 2: Insufficient without the total number of staff.