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A three-person committee must be chosen from a group of 7

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VP
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A three-person committee must be chosen from a group of 7 [#permalink] New post 18 Sep 2008, 08:54
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A three-person committee must be chosen from a group of 7 professors and 10 graduate students. What is the probability that the committee has at least one professor ?

No OA
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Director
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Re: PS: Probability [#permalink] New post 18 Sep 2008, 09:06
amitdgr wrote:
A three-person committee must be chosen from a group of 7 professors and 10 graduate students. What is the probability that the committee has at least one professor ?

No OA


Total number of ways to choose 3 from 17 = 17C3 = 680
Total number of ways to choose a group of only grad students = 10C3 = 120

Probability = (680-120)/680 = 14/17
VP
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Re: PS: Probability [#permalink] New post 18 Sep 2008, 09:12
zoinnk wrote:
amitdgr wrote:
A three-person committee must be chosen from a group of 7 professors and 10 graduate students. What is the probability that the committee has at least one professor ?

No OA


Total number of ways to choose 3 from 17 = 17C3 = 680
Total number of ways to choose a group of only grad students = 10C3 = 120

Probability = (680-120)/680 = 14/17


680-120 is to determine the cases where we have at least one prof ?
_________________

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VP
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Kudos [?]: 301 [0], given: 1

Re: PS: Probability [#permalink] New post 18 Sep 2008, 09:13
How to solve this one zoinnk ?

The probability that it will rain in NYC on any given day in July is 30%. what is the probability that it will rain on exactly 3 days from July 5 to July 10 ?

a. 1
b. 1/2
c. 1/3
d. 1/8
e. 1/70
_________________

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Director
Director
User avatar
Joined: 12 Jul 2008
Posts: 519
Schools: Wharton
Followers: 15

Kudos [?]: 109 [0], given: 0

Re: PS: Probability [#permalink] New post 18 Sep 2008, 09:33
amitdgr wrote:
How to solve this one zoinnk ?

The probability that it will rain in NYC on any given day in July is 30%. what is the probability that it will rain on exactly 3 days from July 5 to July 10 ?

a. 1
b. 1/2
c. 1/3
d. 1/8
e. 1/70


I can't get to any of your choices --

(.3)^3*(.7)^3*(6C3) = .18522
VP
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Joined: 30 Jun 2008
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Re: PS: Probability [#permalink] New post 18 Sep 2008, 09:37
zoinnk wrote:
amitdgr wrote:
How to solve this one zoinnk ?

The probability that it will rain in NYC on any given day in July is 30%. what is the probability that it will rain on exactly 3 days from July 5 to July 10 ?

a. 1
b. 1/2
c. 1/3
d. 1/8
e. 1/70


I can't get to any of your choices --

(.3)^3*(.7)^3*(6C3) = .18522


I guess I got the choices wrong.

But please elaborate your approach here. I am totally bad with probability.
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

1 KUDOS received
Director
Director
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Posts: 519
Schools: Wharton
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Re: PS: Probability [#permalink] New post 18 Sep 2008, 09:47
1
This post received
KUDOS
amitdgr wrote:
zoinnk wrote:
amitdgr wrote:
How to solve this one zoinnk ?

The probability that it will rain in NYC on any given day in July is 30%. what is the probability that it will rain on exactly 3 days from July 5 to July 10 ?

a. 1
b. 1/2
c. 1/3
d. 1/8
e. 1/70


I can't get to any of your choices --

(.3)^3*(.7)^3*(6C3) = .18522


I guess I got the choices wrong.

But please elaborate your approach here. I am totally bad with probability.


Ian Stewart has a nice explanation here:
http://www.beatthegmat.com/probability- ... 14715.html
VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 301 [0], given: 1

Re: PS: Probability [#permalink] New post 18 Sep 2008, 09:54
zoinnk wrote:
Ian Stewart has a nice explanation here:
http://www.beatthegmat.com/probability- ... 14715.html



Thanks for the link :)

+1 for you :)
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

Re: PS: Probability   [#permalink] 18 Sep 2008, 09:54
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