Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A certain club has 10 members, including Harry. One of the [#permalink]
08 Jan 2007, 23:22

1

This post received KUDOS

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

63% (02:20) correct
37% (01:30) wrong based on 180 sessions

A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?

(Probability of not becoming president * prob. of becoming secretary) + (prob of not becoming president*prob. of not becoming secretary*probability of becoming treasurer)

I came to the same answer a different way and may be lucky it worked. I took prob. of sec. plus tres. 1/9+1/8 =17/72 *9/10 which is prob of not president. This equals 153/720 or .21 or 1/5.

Anyone else have a cleaner method.

hsampath- like yours better, not sure if mine is right way.

There are two scenarios:
1) Harry is NOT elected President AND is elected Secretary.
2) Harry is NOT elected President AND is not elected Secretary AND is selected Treasurer.

A certain club has 10 members, including Harry. One of the 10 members is to be chosed at random to be the president, one of the remaining 9 members is to be chosed at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?

A 1/720 B 1/80 C 1/10 D 1/9 E 1/5

Not sure the OA I have is correct.

its correct.
total possibilities = 10x9x8
no of possibilities for sec. = 1x9x8
no of possibilities for tres. = 1x9x8
prob = 2(9x8)/(10x9x8) = 1/5

a certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to b the treasurer. What is the probability that Harry will be either the member chosen to be the scretary of the member chosen to be the treasurer? A. 1/720 B. 1/80 C. 1/10 D. 1/9 E. 1/5

P(secretary)=P(not Harry)*P(Harry)*P(not Harry)=(9/10)(1/9)(8/8)=1/10 P(treasurer)=P(not Harry)*P(not Harry)*P(Harry)=(9/10)(8/9)(1/8)=1/10 P(secretary OR treasurer)=P(secretary)+P(treasurer)=(1/10)+(1/10)=1/5

A certain club has 10 members, including Harry. One of the 1 [#permalink]
16 Jun 2011, 20:28

Can this be solved using symmetry rule that - each and every has equal chance of choosing specific position ... so taking Choosing Sec or Tres position would be 1/10 or 1/10 => 1/10+1/10 = 1/5

Re: A certain club has 10 members, including Harry. One of the [#permalink]
26 Nov 2011, 09:37

Can somebody explain why we use in the first part of the calculation P{that he is not secretary} =1 and in the second part P{he is not treasurer} = 1/8. Should not it be 7/8 in the first part instead of 1. because we cannot be sure that he is not chosen as secretary ????? 9/10 * 1/9 *1 + 9/10 *8/9 *1/8

Re: A certain club has 10 members, including Harry. One of the [#permalink]
19 May 2014, 09:07

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: A certain club has 10 members, including Harry. One of the [#permalink]
19 May 2014, 22:48

1

This post received KUDOS

Expert's post

2

This post was BOOKMARKED

A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?

A) 1/720 B) 1/80 C) 1/10 D) 1/9 E) 1/5

This question is much easier than it appears.

Each member out of 10, including Harry, has equal chances to be selected for any of the positions (the sequence of the selection is given just to confuse us). The probability that Harry will be selected to be the secretary is 1/10 and the probability that Harry will be selected to be the treasurer is also 1/10. So, the probability that Harry will be selected to be either the secretary or the the treasurer is 1/10+1/10=2/10.

Hello everyone! Researching, networking, and understanding the “feel” for a school are all part of the essential journey to a top MBA. Wouldn’t it be great... ...

Are you interested in applying to business school? If you are seeking advice about the admissions process, such as how to select your targeted schools, then send your questions...