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

It is currently 20 Sep 2018, 04:23

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

Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he select

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

Hide Tags

VP
VP
User avatar
V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1261
Location: India
Concentration: International Business, Operations
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Premium Member Reviews Badge CAT Tests
Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he select  [#permalink]

Show Tags

New post 16 Jul 2018, 11:01
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (01:25) correct 19% (02:02) wrong based on 16 sessions

HideShow timer Statistics

Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he selects three chips from the bag at random, what is the probability that all three chips selected are blue?

1. 1/28
2. 27/512
3. 9/64
4. 2/7
5. 167/168

_________________

"Do not watch clock; Do what it does. KEEP GOING."

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6792
Re: Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he select  [#permalink]

Show Tags

New post 16 Jul 2018, 11:10
AkshdeepS wrote:
Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he selects three chips from the bag at random, what is the probability that all three chips selected are blue?

1. 1/28
2. 27/512
3. 9/64
4. 2/7
5. 167/168



Ways to pick up blue =6C3=5*4=20
Total ways to pick any three = 16C3=16*15*14/6=560

Prob = 20/560=1/28

A
_________________

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

Senior Manager
Senior Manager
User avatar
P
Joined: 14 Dec 2017
Posts: 473
Re: Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he select  [#permalink]

Show Tags

New post 16 Jul 2018, 11:15
AkshdeepS wrote:
Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he selects three chips from the bag at random, what is the probability that all three chips selected are blue?

1. 1/28
2. 27/512
3. 9/64
4. 2/7
5. 167/168



Approach 1: Required Probability is of B B B = (6/16)*(5/15)*(4/14) = 1/28


Approach 2: 3 chips can be selected out of 16 chips in 16C3 ways

3 blue chips can be selected out of 6 blue chips in 6C3 ways.


Hence probability of selecting 3 blue chips out of 16 chips = 6C3/16C3 = \(\frac{(6*5*4)(1*2*3)}{(1*2*3)(16*15*14)}\) = \(\frac{1}{28}\)


Answer A.



Thanks,
GyM
_________________

New to GMAT Club - https://gmatclub.com/forum/new-to-gmat-club-need-help-271131.html#p2098335

Re: Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he select &nbs [#permalink] 16 Jul 2018, 11:15
Display posts from previous: Sort by

Bert has a bag of 6 Red, 6 Blue, and 4 White poker chips. If he select

  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®.