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

It is currently 14 Dec 2018, 18:53

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

     December 14, 2018

     December 14, 2018

     10:00 PM PST

     11:00 PM PST

    Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

If 3 cards are selected at random from the deck of 52 cards then What

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

Hide Tags

CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 27 Jul 2015, 05:05
2
14
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

48% (01:50) correct 52% (02:00) wrong based on 266 sessions

HideShow timer Statistics

If 3 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King, one of them will be Queen and one of them will be Jack?

A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit

A) 96/5525
B) 48/5525
C) 16/5525
D) 8/16575
E) 1/2197

Source : http://www.GMATinsight.com

Good questions also deserve Kudos :)

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2633
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 27 Jul 2015, 05:12
1
2
GMATinsight wrote:
If 3 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King, one of them will be Queen and one of them will be Jack?

A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit

A) 96/5525
B) 48/5525
C) 16/5525
D) 8/16575
E) 1/2197

Source : http://www.GMATinsight.com

Good questions also deserve Kudos :)


Let K,Q and J represent King, Queen and Jack respectively.

One possible combination is KQJ and this can be arranged in 3! ways.

Probability of KQJ = (4/52)*(4/51)*(4/50)

Total probability = 3! * (4/52)*(4/51)*(4/50) . No need for final calculation. Reduce this to simpler form and you only have 1 option with 16 in the numerator. C is the correct answer.
Intern
Intern
avatar
B
Joined: 23 Jan 2018
Posts: 12
CAT Tests
Re: If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 05 Feb 2018, 01:20
1
Bunuel - Why is the answer not A?
I chose 3 cards out of a deck of 52 (52c3)

Next as there 4 Kings, 4 Queens, and 4 Jacks in a deck therefore i chose 1 of each individually 4c1 - 4c1 4c1

And the cards can be pulled in any manner so 3!

Overall when i did the calculation part 4*4*4*6/52c3

The answer comes out to be 96/5525

Where is this going wrong?

There is no replacement issue here as well.
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 05 Feb 2018, 02:21
1
Sakshij0694 wrote:
Bunuel - Why is the answer not A?
I chose 3 cards out of a deck of 52 (52c3)

Next as there 4 Kings, 4 Queens, and 4 Jacks in a deck therefore i chose 1 of each individually 4c1 - 4c1 4c1

And the cards can be pulled in any manner so 3!

Overall when i did the calculation part 4*4*4*6/52c3

The answer comes out to be 96/5525

Where is this going wrong?

There is no replacement issue here as well.


In your calculation here 4*4*4*6/52c3

Numerator includes arrangement but Denominator includes only selection and no arrangement hence your answer is incorrent

Rule of probability

Either calculate both numerator and denominator by selection or both by arrangement

I hope this helps!!!
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Intern
Intern
avatar
B
Joined: 03 Jul 2018
Posts: 4
Re: If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 09 Sep 2018, 04:16
Total # of possible outcomes = 52C3
Total # of favourable outcomes = 4C1*4C1*4C1
Req. probability = 4*4*4*1*2*3/52*51*50 ==> once fully reduced, numerator will be 16 --> sufficient to answer the question.

Answer is C.
Senior Manager
Senior Manager
avatar
G
Joined: 15 Oct 2017
Posts: 314
Reviews Badge CAT Tests
Re: If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 20 Sep 2018, 20:57
Total number of outcomes: 52C3.
Desired outcomes: 4C1*4C1*4C1.

Probability = (4C1*4C1*4C1)/(52C3) = 16/5625 = C.
Senior Manager
Senior Manager
avatar
G
Joined: 27 Dec 2016
Posts: 258
CAT Tests
Re: If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 24 Sep 2018, 17:51
I got D as an answer.
Probability of picking one king out of 52 cards: 4/52
Probability of picking one queen out of 52 cards: 4/51
Probability of picking one jack out of 52 cards: 4/50

4/52 * 4/51 * 4/50 = option D.

Could someone please tell me where I made a mistake in my solution? Would greatly appreciate it!
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1128
If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 24 Sep 2018, 19:24
GMATinsight wrote:
If 3 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King, one of them will be Queen and one of them will be Jack?

A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit

A) 96/5525
B) 48/5525
C) 16/5525
D) 8/16575
E) 1/2197

Source : http://www.GMATinsight.com

Good questions also deserve Kudos :)


1st draw: 12/52
2nd draw: 8/51
3rd draw: 4/50
12/52*8/51*4/50➡16/5525
C
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If 3 cards are selected at random from the deck of 52 cards then What  [#permalink]

Show Tags

New post 25 Sep 2018, 07:21
GMATinsight wrote:
If 3 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King, one of them will be Queen and one of them will be Jack?

A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit

A) 96/5525
B) 48/5525
C) 16/5525
D) 8/16575
E) 1/2197

Source : http://www.GMATinsight.com

Good questions also deserve Kudos :)


Method-1
Probability of KQJ in this specific order = (4/52)*(4/51)*(4/50)
Probability of KQJ in ALL possible orders = 3!*(4/52)*(4/51)*(4/50)

Method-2
(4C1*4C1*4C1)/52C3

Method-3
(4/52)*(4/51)*(4/50)*3!
3! is multiplied to include all possible orders of KQJ
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

GMAT Club Bot
Re: If 3 cards are selected at random from the deck of 52 cards then What &nbs [#permalink] 25 Sep 2018, 07:21
Display posts from previous: Sort by

If 3 cards are selected at random from the deck of 52 cards then What

  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®.