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

It is currently 19 Sep 2018, 17:40

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.

Close

Request Expert Reply

Confirm Cancel

A bowl contains 18 raffle tickets, numbered 1 through 18.

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

Hide Tags

Senior RC Moderator
User avatar
P
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 1182
Location: India
WE: General Management (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
A bowl contains 18 raffle tickets, numbered 1 through 18.  [#permalink]

Show Tags

New post 01 Oct 2017, 12:48
1
Top Contributor
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

72% (01:02) correct 28% (00:49) wrong based on 94 sessions

HideShow timer Statistics

A bowl contains 18 raffle tickets, numbered 1 through 18. If two raffle tickets are chosen at random from the bowl, what is the probability that both tickets are even numbers?

A. \(\frac{2}{9}\)

B. \(\frac{4}{17}\)

C. \(\frac{1}{4}\)

D. \(\frac{1}{2}\)

E. \(\frac{33}{34}\)

_________________

Become a GMAT Club Premium member to avail lot of discounts

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6787
Re: A bowl contains 18 raffle tickets, numbered 1 through 18.  [#permalink]

Show Tags

New post 01 Oct 2017, 20:17
Gnpth wrote:
A bowl contains 18 raffle tickets, numbered 1 through 18. If two raffle tickets are chosen at random from the bowl, what is the probability that both tickets are even numbers?

A. \(\frac{2}{9}\)

B. \(\frac{4}{17}\)

C. \(\frac{1}{4}\)

D. \(\frac{1}{2}\)

E. \(\frac{33}{34}\)



Hi...

There are 9 even numbers out of 18 consecutive integers..
So Q boils down to selecting 2 out of 9... 9P2=\(9!/7!=8*9\)
And total ways are 18*17..
So prob= \(\frac{8*9}{17*18}=4/17\)
B

Also if you work directly on probability..
Prob of picking an even number in first go= 9/18=1/2
Prob of picking an even number then on second go also =1/2 * 8/17=4/17
B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Manager
Manager
avatar
B
Joined: 08 Mar 2017
Posts: 54
Location: India
Concentration: Operations, General Management
Schools: ISB '20, XLRI"20
GMAT 1: 600 Q40 V33
GPA: 2.79
WE: Project Management (Manufacturing)
Reviews Badge CAT Tests
Re: A bowl contains 18 raffle tickets, numbered 1 through 18.  [#permalink]

Show Tags

New post 02 Oct 2017, 09:07
1
Gnpth wrote:
A bowl contains 18 raffle tickets, numbered 1 through 18. If two raffle tickets are chosen at random from the bowl, what is the probability that both tickets are even numbers?

A. \(\frac{2}{9}\)

B. \(\frac{4}{17}\)

C. \(\frac{1}{4}\)

D. \(\frac{1}{2}\)

E. \(\frac{33}{34}\)


Even numbers are 9 then probability 1st even raffle is 9/18 and for second is 8/17
=9/18*8/17=4/17.. Ans B
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3509
Location: United States (CA)
Re: A bowl contains 18 raffle tickets, numbered 1 through 18.  [#permalink]

Show Tags

New post 04 Oct 2017, 16:40
Gnpth wrote:
A bowl contains 18 raffle tickets, numbered 1 through 18. If two raffle tickets are chosen at random from the bowl, what is the probability that both tickets are even numbers?

A. \(\frac{2}{9}\)

B. \(\frac{4}{17}\)

C. \(\frac{1}{4}\)

D. \(\frac{1}{2}\)

E. \(\frac{33}{34}\)


There is a 9/18 chance of selecting an even number with the first pick and a 8/17 chance of selecting an even number with the next pick; thus, the probability of selecting 2 even numbers is 9/18 x 8/17 = 1/2 x 8/17 = 8/34 = 4/17.

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A bowl contains 18 raffle tickets, numbered 1 through 18. &nbs [#permalink] 04 Oct 2017, 16:40
Display posts from previous: Sort by

A bowl contains 18 raffle tickets, numbered 1 through 18.

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

Events & Promotions

PREV
NEXT


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

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®.