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

It is currently 22 Apr 2019, 23:13

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

Each of the integers from 0 to 9, inclusive, is written on a

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

Hide Tags

 
Intern
Intern
avatar
Joined: 15 Jun 2010
Posts: 9
Each of the integers from 0 to 9, inclusive, is written on a  [#permalink]

Show Tags

New post 15 Apr 2014, 16:45
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:40) correct 27% (02:34) wrong based on 73 sessions

HideShow timer Statistics

Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 3 of the slips are the drawn, without replacement, what is the probability that all 3 have a even number written on it?

A. 1/12
B. 1/10
C. 1/8
D. 1/2
E. 5/9
Retired Moderator
User avatar
Joined: 20 Dec 2013
Posts: 171
Location: United States (NY)
GMAT 1: 640 Q44 V34
GMAT 2: 710 Q48 V40
GMAT 3: 720 Q49 V40
GPA: 3.16
WE: Consulting (Venture Capital)
GMAT ToolKit User Reviews Badge
Re: Each of the integers from 0 to 9, inclusive, is written on  [#permalink]

Show Tags

New post 15 Apr 2014, 18:38
1
Key is that there is no replacement, so each successive choice will become more skewed towards picking a neg (i.e. the pool of positives decreases, while the pool of negatives stay the same)

P(+ on 1st pick) = 5/10
P(+ on 2nd pick) = 4/9
P(+ on 3rd pick) = 3/8

5/10*4/9*3/8=1/12
_________________
Veritas Prep GMAT Instructor
User avatar
D
Joined: 16 Oct 2010
Posts: 9131
Location: Pune, India
Re: Each of the integers from 0 to 9, inclusive, is written on  [#permalink]

Show Tags

New post 15 Apr 2014, 20:47
1
tauchmeister wrote:
Having trouble on this question to,

Each of the integers from 0 to 9, inclusive, is
written on a separate slip of blank paper and the
ten slips are dropped into a hat. If 3 of the slips
are the drawn, without replacement, what is the
probability that all 3 have a even number written
on it?
a) 1/12
b) 1/10
c) 1/8
d) 1/2
e) 5/9



Initially there are 10 numbers from 0 to 9.
5 of them are even and 5 are odd. Note that 0 is an even number.

Probability of picking an even number on first pick = 5/10

Now you have 9 numbers left since you do not replace the number you picked in your first pick. Out of the 9, you have 4 even numbers (since you already picked an even number) and 5 odd numbers.
Probability of picking an even number on second pick = 4/9

Now you have 8 numbers left and 3 of them are even since 2 even are already picked.
Probability of picking an even number on third pick = 3/8

Probability of picking even numbers of all three picks = (5/10)*(4/9)*(3/8) = 1/12

Answer (A)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 10599
Re: Each of the integers from 0 to 9, inclusive, is written on a  [#permalink]

Show Tags

New post 07 Apr 2019, 20:15
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 Club Bot
Re: Each of the integers from 0 to 9, inclusive, is written on a   [#permalink] 07 Apr 2019, 20:15
Display posts from previous: Sort by

Each of the integers from 0 to 9, inclusive, is written on a

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


cron
Copyright

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®.