Find all School-related info fast with the new School-Specific MBA Forum

It is currently 31 May 2016, 21:38
GMAT Club Tests

Close

GMAT Club Daily Prep

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The probability of pulling a black ball out of a glass jar

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 07 Feb 2010
Posts: 159
Followers: 2

Kudos [?]: 391 [0], given: 101

The probability of pulling a black ball out of a glass jar [#permalink]

Show Tags

New post 17 Dec 2010, 05:39
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

76% (01:38) correct 24% (00:41) wrong based on 42 sessions

HideShow timer Statistics

The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?

A. 1/(XY)
B. X/Y
C. Y/X
D. 1/(X+Y)
E. 1/(X-Y)
[Reveal] Spoiler: OA
Expert Post
3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33106
Followers: 5786

Kudos [?]: 71059 [3] , given: 9857

The probability of pulling a black ball out of a glass jar [#permalink]

Show Tags

New post 17 Dec 2010, 05:48
3
This post received
KUDOS
Expert's post
anilnandyala wrote:
The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?

a) 1/(XY).
b) X/Y.
c) Y/X.
d) 1/(X+Y).
e) 1/(X-Y).



Probability of A and B:
When two events are independent, the probability of both occurring is the product of the probabilities of the individual events: \(P(A \ and \ B) = P(A)*P(B)\)

P(break & black) = P(break) * P(black) --> 1/y=P(break)*1/x --> P(break)=x/y.

Answer: B.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
Status: Power perceived is power achieved
Joined: 06 Dec 2010
Posts: 5
Location: United States
GMAT 1: 610 Q46 V28
GMAT 2: Q V
Followers: 0

Kudos [?]: 5 [0], given: 10

Re: The probability of pulling a black ball out of a glass jar [#permalink]

Show Tags

New post 18 Dec 2010, 00:38
pretty new to this forum and have a question. do you not use plug in or substitution and try to use just the math specifically?

If substitute here, much easier, i think. 1/x substitute x=5 1/y = substitute y = 6 (it has to be less likely to break and black ball, otherwise, there wouldnt be a black ball in the jar) then you have...

1/5 * P(both) = 1/6

5(1/5 * P(both)) = (1/6)5

P(both) = 5/6
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9730
Followers: 466

Kudos [?]: 120 [0], given: 0

Premium Member
Re: The probability of pulling a black ball out of a glass jar [#permalink]

Show Tags

New post 25 May 2016, 08:05
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
User avatar
Joined: 18 Oct 2014
Posts: 293
GMAT 1: 660 Q49 V31
Followers: 7

Kudos [?]: 30 [0], given: 31

GMAT ToolKit User
Re: The probability of pulling a black ball out of a glass jar [#permalink]

Show Tags

New post 25 May 2016, 08:24
anilnandyala wrote:
The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?

A. 1/(XY)
B. X/Y
C. Y/X
D. 1/(X+Y)
E. 1/(X-Y)


P of pulling a black ball out of a glass jar AND breaking the jar = 1/Y
P of pulling a black ball out of a glass jar is 1/X
Lets say P of breaking the jar = n

That means 1/X*n=1/Y
n= X/Y

B is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Re: The probability of pulling a black ball out of a glass jar   [#permalink] 25 May 2016, 08:24
    Similar topics Author Replies Last post
Similar
Topics:
12 Experts publish their posts in the topic There are 87 balls in a jar. Each ball is painted with at le honchos 9 04 Oct 2013, 04:44
2 Experts publish their posts in the topic A jar contains 4 black and 3 white balls. If you pick two ba bagdbmba 5 30 Aug 2013, 06:09
2 The weight of a glass of jar is 20% of the weight of the jar cv3t3l1na 1 25 Nov 2012, 03:42
2 A jar contains only x black balls and y white balls tejal777 3 06 Jun 2009, 04:54
4 Experts publish their posts in the topic The probability of pulling a black bal out of a glass jar is andrecrompton 4 10 Jul 2006, 17:58
Display posts from previous: Sort by

The probability of pulling a black ball out of a glass jar

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.