GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Jul 2018, 15:53

### 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

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

# A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another

Author Message
TAGS:

### Hide Tags

Director
Joined: 07 Jun 2004
Posts: 605
Location: PA
A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another [#permalink]

### Show Tags

27 Sep 2010, 15:25
4
00:00

Difficulty:

65% (hard)

Question Stats:

50% (01:03) correct 50% (01:17) wrong based on 58 sessions

### HideShow timer Statistics

A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another bag has 60 marbles numbered consecutively 90 - 149 inclusive. If a marble is randomly chosen from each bag, what is the probability that two marbles have the same number

1/10

1/60

1/100

1/600

1/6000

_________________

If the Q jogged your mind do Kudos me : )

CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2657
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Re: A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another [#permalink]

### Show Tags

27 Sep 2010, 15:44
rxs0005 wrote:
A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another bag has 60 marbles numbered consecutively 90 - 149 inclusive. If a marble is randomly chosen from each bag, what is the probability that two marbles have the same number

1/10

1/60

1/100

1/600

1/6000

Common numbers : 90,91...99 total 10 numbers

probability = $$\frac{10}{{100*60}}$$ = $$\frac{1}{{600}}$$ = D
_________________

Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned

Jo Bole So Nihaal , Sat Shri Akaal

GMAT Club Premium Membership - big benefits and savings

Gmat test review :
http://gmatclub.com/forum/670-to-710-a-long-journey-without-destination-still-happy-141642.html

Retired Moderator
Joined: 02 Sep 2010
Posts: 775
Location: London
Re: A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another [#permalink]

### Show Tags

27 Sep 2010, 15:47
No of ways to pick two marbles = 100*60 = 6000

No of ways to pick same number = (90,90) , ... , (99,99) = 10

So probability = 1/600
_________________
Senior Manager
Status: Time to step up the tempo
Joined: 24 Jun 2010
Posts: 384
Location: Milky way
Schools: ISB, Tepper - CMU, Chicago Booth, LSB
Re: A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another [#permalink]

### Show Tags

27 Sep 2010, 20:50
1
rxs0005 wrote:
A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another bag has 60 marbles numbered consecutively 90 - 149 inclusive. If a marble is randomly chosen from each bag, what is the probability that two marbles have the same number

1/10

1/60

1/100

1/600

1/6000

My approach:

Pickup the matching 10 numbered marbles from the first bag -- Probability - 10/100 -- 1/10

Now we have one of the marble numbered from 90 - 99. From the other bag we need to pick just the one marble which will have a number from 90 - 99 to ensure we have a matching marble set. Its probability is 1/60.

Hence combined probability is (1/10) * (1/60) -- 1/600. Answer D.

There is a similar question in this forum , check this out -- http://gmatclub.com/forum/junior-58914.html
_________________

Support GMAT Club by putting a GMAT Club badge on your blog

Manager
Joined: 16 Sep 2010
Posts: 120
Location: India
Schools: Terry, Georgia Tech
WE 1: Working for Wipro Technologies since April 2010
Re: A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another [#permalink]

### Show Tags

27 Sep 2010, 22:03
ezhilkumarank wrote:
rxs0005 wrote:
A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another bag has 60 marbles numbered consecutively 90 - 149 inclusive. If a marble is randomly chosen from each bag, what is the probability that two marbles have the same number

1/10

1/60

1/100

1/600

1/6000

My approach:

Pickup the matching 10 numbered marbles from the first bag -- Probability - 10/100 -- 1/10

Now we have one of the marble numbered from 90 - 99. From the other bag we need to pick just the one marble which will have a number from 90 - 99 to ensure we have a matching marble set. Its probability is 1/60.

Hence combined probability is (1/10) * (1/60) -- 1/600. Answer D.

There is a similar question in this forum , check this out -- http://gmatclub.com/forum/junior-58914.html

my approach.....

probability of picking a marble from 0 -99 in the first set = 1/100 { since 0-99 is hundred marbles}

similarly, probability of picking a marble from 90-149 in the second set = 1/60

therefore, probability that they are same = (1/100) * (1/60) = 1/6000

it can happen for 10 marbles ( 90 to 99 inclusive ) .

Thus, total probability = 10 *1/6000 = 1/600 ANS
_________________

Samidh
-------------------------------------------------------------------------------------------
Feel free to get in touch if you feel I can be of some assistance to you. You can find me in Facebook if you search!

Consider giving me some kudos if you like my post

Non-Human User
Joined: 09 Sep 2013
Posts: 7278
Re: A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another [#permalink]

### Show Tags

30 Sep 2017, 22:57
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 bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another   [#permalink] 30 Sep 2017, 22:57
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.