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

 It is currently 17 Aug 2018, 12:33

### 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

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

# A deck of 52 cards contains cards numbered 1 through 13 in each of 4

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47977
A deck of 52 cards contains cards numbered 1 through 13 in each of 4  [#permalink]

### Show Tags

29 Jan 2018, 06:13
00:00

Difficulty:

15% (low)

Question Stats:

87% (00:42) correct 13% (00:39) wrong based on 62 sessions

### HideShow timer Statistics

A deck of 52 cards contains cards numbered 1 through 13 in each of 4 different colors. John will win $100 if he pulls a card numbered either 7 or 9 from the deck. What is the probability that John will win$100?

A. 1/52
B. 1/26
C. 1/13
D. 2/13
E. 4/13

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 325
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4  [#permalink]

### Show Tags

29 Jan 2018, 09:47
D

Sample set =52

Cards numbered 7 =4
Probability =4/52

Cards numbered 9 =4
Probability =4/52

Total Probability = 4/52 +4/52=8/52=2/13
_________________

Help with kudos if u found the post useful. Thanks

Manager
Joined: 28 Jul 2016
Posts: 60
Location: India
GMAT 1: 680 Q50 V32
GPA: 3.97
Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4  [#permalink]

### Show Tags

29 Jan 2018, 11:14
Total probability= 8C1/52C1
=2/13
_________________

Please give Kudos. Kudos encourage active discussions and help the community grow

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2727
Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4  [#permalink]

### Show Tags

30 Jan 2018, 11:18
Bunuel wrote:
A deck of 52 cards contains cards numbered 1 through 13 in each of 4 different colors. John will win $100 if he pulls a card numbered either 7 or 9 from the deck. What is the probability that John will win$100?

A. 1/52
B. 1/26
C. 1/13
D. 2/13
E. 4/13

Since there are four 7’s and four 9’s, the probability that John wins $100 is 8/52 = 2/13. Answer: D _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions e-GMAT Representative Joined: 04 Jan 2015 Posts: 1897 Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4 [#permalink] ### Show Tags 31 Jan 2018, 01:34 Bunuel wrote: A deck of 52 cards contains cards numbered 1 through 13 in each of 4 different colors. John will win$100 if he pulls a card numbered either 7 or 9 from the deck. What is the probability that John will win $100? A. 1/52 B. 1/26 C. 1/13 D. 2/13 E. 4/13 Solution • Total cards = 52. o Number of cards that John pulls out = 1 o Thus, total possible ways of pulling out any card = 52C1 =52 ways • To win$100, he needs to get either 7 or 9
o There are cards of 4 colors and each color has cards numbered 1 to 13.
o Thus, each color card with have 7 or 9 in it.
o Total favorable cards available $$= 2 + 2 + 2 + 2 =8$$ cards
o And total ways to pull out one favorable card = 8C1 =8 ways
• Therefore, the probability that John will win \$100 $$= \frac{Favorable Cases}{Total Cases} = \frac{8}{52} = \frac{2}{13}$$

Regards,
Saquib
Quant Expert
e-GMAT
_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4 &nbs [#permalink] 31 Jan 2018, 01:34
Display posts from previous: Sort by

# Events & Promotions

 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®.