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

It is currently 19 Jun 2018, 12:49

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

Events & Promotions in June
Open Detailed Calendar

M05-34

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46167
M05-34 [#permalink]

Show Tags

New post 16 Sep 2014, 00:26
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

76% (00:38) correct 24% (01:02) wrong based on 131 sessions

HideShow timer Statistics

If a fair coin marked 1 and 2, and a fair die are rolled together, what is a probability to have the sum even?

A. \(\frac{1}{8}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{2}\)
D. \(\frac{3}{4}\)
E. \(\frac{7}{8}\)

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46167
Re M05-34 [#permalink]

Show Tags

New post 16 Sep 2014, 00:26
Official Solution:

If a fair coin marked 1 and 2, and a fair die are rolled together, what is a probability to have the sum even?

A. \(\frac{1}{8}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{2}\)
D. \(\frac{3}{4}\)
E. \(\frac{7}{8}\)


The coin has 1 and 2, and the die has 1, 2, 3, 4, 5, 6 for a total of 12 possible outcomes.

To get the final result even, we must have two even numbers, \(E\), or two odd numbers, \(O\).

\(E + E\) is possible if we have \(2+2\), \(2+4\), \(2+6\).

\(O + O\) is possible if we have \(1+1\), \(1+3\), \(1+5\), so there are six favorable outcomes out of 12 possible. \(\frac{6}{12}=\frac{1}{2}\).


Answer: C
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 06 Jul 2014
Posts: 20
WE: Supply Chain Management (Manufacturing)
M05-34 [#permalink]

Show Tags

New post 24 Nov 2015, 21:32
If a fair coin marked 1 and 2, and a fair die are rolled together, what is a probability to have the sum even?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8

Alt Explanation-
When the fair dice and fair coin numbered 1 and 2 are rolled ,the sum is equally likely to be even or odd.Hence probability is 50%,i.e 1/2.
1 KUDOS received
Intern
Intern
avatar
B
Joined: 28 Apr 2016
Posts: 20
Re: M05-34 [#permalink]

Show Tags

New post 15 Apr 2017, 00:56
1
Hi Bunuel,

For this question I solved like the below. Is it right or just a coincidence?

In order to be sum there are 2 cases:

1) Coin=2 and dice 2,4,6 so together possibility of this 1/2*3/6=1/4
2) Coin=1 and dice 1,3,5 so together 1/2*3/6=1/4

and 1/4+1/4=1/2
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46167
Re: M05-34 [#permalink]

Show Tags

New post 15 Apr 2017, 02:39
dyg wrote:
Hi Bunuel,

For this question I solved like the below. Is it right or just a coincidence?

In order to be sum there are 2 cases:

1) Coin=2 and dice 2,4,6 so together possibility of this 1/2*3/6=1/4
2) Coin=1 and dice 1,3,5 so together 1/2*3/6=1/4

and 1/4+1/4=1/2


This is absolutely correct approach.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: M05-34   [#permalink] 15 Apr 2017, 02:39
Display posts from previous: Sort by

M05-34

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

Moderators: chetan2u, Bunuel



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®.