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A thinly stretched pharmaceuticals company operates three [#permalink]

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16 Oct 2005, 18:52

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A thinly stretched pharmaceuticals company operates three business divisions: drugs, biotech, and medical devices. Each division employs 50 people each. There is a special task force of 10 employees who belong to all three divisions. In addition, there are â€œcross specialist positionsâ€

Last edited by Titleist on 17 Oct 2005, 13:55, edited 7 times in total.

probability of picking either a drug or med dev specialist - so you must exclude cross specialists and task force members

total employees = 80

thus picking a drug employee 10/80

picking a med dev. employee 2/80

add since it's 'or' 10/80 + 2/80 =3/20

Can you please explain how did you get total number of employees to be 80?

I am coming up with :
50 + 50 + 50 - (50) + 10 or 110

Question:
what is the probability that if an employee is chosen at random from this company that he or she is an employee of either the drug division or the medical devices division but not both?

Also, as question does not explicitly removes from scope, why didnt you pick employees that are:
cross specialist with BOTH Drug & Biotech OR
cross specialist with BOTH Med dev & Biotech

probability of picking either a drug or med dev specialist - so you must exclude cross specialists and task force members

total employees = 80

thus picking a drug employee 10/80

picking a med dev. employee 2/80

add since it's 'or' 10/80 + 2/80 =3/20

Can you please explain how did you get total number of employees to be 80?

I am coming up with : 50 + 50 + 50 - (50) + 10 or 110

Question: what is the probability that if an employee is chosen at random from this company that he or she is an employee of either the drug division or the medical devices division but not both?

Also, as question does not explicitly removes from scope, why didnt you pick employees that are: cross specialist with BOTH Drug & Biotech OR cross specialist with BOTH Med dev & Biotech

Look at jainvineet's explanation - it's correct as so far as how he calculated the number of individuals.

Look at jainvineet's explanation - it's correct as so far as how he calculated the number of individuals.

I understood the indivisual numbers in jainvineet's explanation. But my question remains how did total comes out to be : 80
Also how do we interpret question so as not to include cross specilist with Bio.
Am sure I am missing some rudimentary point. Thanks.

Look at jainvineet's explanation - it's correct as so far as how he calculated the number of individuals.

I understood the indivisual numbers in jainvineet's explanation. But my question remains how did total comes out to be : 80 Also how do we interpret question so as not to include cross specilist with Bio. Am sure I am missing some rudimentary point. Thanks.

We interpret the question as simply what is the probability that the individual we pick at random is an employee of ONLY Drugs or ONLY Medical Devices - and not both - so that would mean you exclude cross specialists within drugs/med devices.

I really hope this helps!

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why are the employees who are both Drug and Biotech , both Medical Device and Biotech excluded ?

The question was only asking for the exclusion for those that are both in Drug and Medical Device, right ?

THe question is asking for the probability of picking someone who works for either (not both) drug OR medical devices division. Not both. That is why you must exclude the cross specialists.

Re: PS Word Problem - Overlapping Set/Probability Combo [#permalink]

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06 Nov 2005, 20:50

[quote="Titleist"]A thinly stretched pharmaceuticals company operates three business divisions: drugs, biotech, and medical devices. Each division employs 50 people each. There is a special task force of 10 employees who belong to all three divisions. In addition, there are â€œcross specialist positionsâ€

We need to find the probablity of an employee of either the drug division or the medical devices division but not both. i.e. We only need to count
n(d) + n(M) = 12/80 = 3/20