It is currently 20 Oct 2017, 15:07

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# On the table, there are 10 mathematics books and 5 literature books

Author Message
TAGS:

### Hide Tags

VP
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1182

Kudos [?]: 892 [0], given: 54

Location: Viet Nam
On the table, there are 10 mathematics books and 5 literature books [#permalink]

### Show Tags

11 Dec 2016, 05:39
6
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:06) correct 22% (02:26) wrong based on 108 sessions

### HideShow timer Statistics

On the table, there are 10 mathematics books and 5 literature books. Jane takes one randomly, then Anna takes one book randomly. Finally, John takes one of remaining on the table. What is the probability that Jane and Anna take mathematics books and John takes literature books?

A. 18/91
B. 15/91
C. 7/45
D. 8/15
E. 45/91
[Reveal] Spoiler: OA

_________________

Kudos [?]: 892 [0], given: 54

Senior Manager
Joined: 13 Oct 2016
Posts: 367

Kudos [?]: 395 [0], given: 40

GPA: 3.98
Re: On the table, there are 10 mathematics books and 5 literature books [#permalink]

### Show Tags

11 Dec 2016, 09:09
2
This post was
BOOKMARKED
Hi

Thanks for posting new questions.

$$P(math)*P(math)|math*P(lit)|math,math = \frac{10}{15} * \frac{9}{14} * \frac{5}{13} = \frac{15}{91}$$

Kudos [?]: 395 [0], given: 40

Math Forum Moderator
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3003

Kudos [?]: 1088 [0], given: 325

Location: India
GPA: 3.5
Re: On the table, there are 10 mathematics books and 5 literature books [#permalink]

### Show Tags

11 Dec 2016, 12:13
nguyendinhtuong wrote:
On the table, there are 10 mathematics books and 5 literature books. Jane takes one randomly, then Anna takes one book randomly. Finally, John takes one of remaining on the table. What is the probability that Jane and Anna take mathematics books and John takes literature books?

A. 18/91
B. 15/91
C. 7/45
D. 8/15
E. 45/91

Probability that Jane takes out a mathematics book = $$\frac{10}{15}$$
Probability that Anna takes out a mathematics book = $$\frac{9}{14}$$
Probability that John takes out a mathematics book = $$\frac{5}{13}$$

So, the probability that Jane and Anna take mathematics books and John takes literature books is $$\frac{10}{15}$$*$$\frac{9}{14}$$*$$\frac{5}{13}$$ = $$\frac{15}{91}$$

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1088 [0], given: 325

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1648

Kudos [?]: 842 [1], given: 3

Location: United States (CA)
Re: On the table, there are 10 mathematics books and 5 literature books [#permalink]

### Show Tags

13 Dec 2016, 17:46
1
KUDOS
Expert's post
nguyendinhtuong wrote:
On the table, there are 10 mathematics books and 5 literature books. Jane takes one randomly, then Anna takes one book randomly. Finally, John takes one of remaining on the table. What is the probability that Jane and Anna take mathematics books and John takes literature books?

A. 18/91
B. 15/91
C. 7/45
D. 8/15
E. 45/91

We are given that there are 10 math and 5 literature books. We need to determine the probability of Jane selecting a math book, then Anna selecting a math book, and then John selecting a literature book.

Since there are 15 total books and 10 math books, the probability of Jane selecting a math book is 10/15 = 2/3. Since there are now 14 books left, of which 9 are math books, the probability of Anna selecting a math book is 9/14. Finally, since there are 13 books left, of which 5 are literature books, the probability of John selecting a literature book is 5/13.

Thus, the final probability is: 2/3 x 9/14 x 5/13 = 1 x 3/7 x 5/13 = 15/91.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 842 [1], given: 3

Intern
Joined: 09 Feb 2017
Posts: 1

Kudos [?]: 1 [1], given: 39

Re: On the table, there are 10 mathematics books and 5 literature books [#permalink]

### Show Tags

14 Apr 2017, 12:59
1
KUDOS
I can't get the same answer using the Combinatorial approach, could anyone please show me how to use it to get the right answer?

Kudos [?]: 1 [1], given: 39

Manager
Joined: 01 Nov 2016
Posts: 67

Kudos [?]: 7 [0], given: 69

Concentration: Technology, Operations
Re: On the table, there are 10 mathematics books and 5 literature books [#permalink]

### Show Tags

16 Apr 2017, 11:00
Alarin101 wrote:
I can't get the same answer using the Combinatorial approach, could anyone please show me how to use it to get the right answer?

I don't think you can use combinatorial approach, because order matters in this question. They are very specific than Jane goes first, and then Ana, and then John.

Kudos [?]: 7 [0], given: 69

Re: On the table, there are 10 mathematics books and 5 literature books   [#permalink] 16 Apr 2017, 11:00
Display posts from previous: Sort by