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

 It is currently 19 Feb 2019, 23:29

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST
• ### Online GMAT boot camp for FREE

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# When two dice are thrown simultaneously, what is the probability that

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53006
When two dice are thrown simultaneously, what is the probability that  [#permalink]

### Show Tags

28 Jan 2019, 06:21
00:00

Difficulty:

35% (medium)

Question Stats:

45% (01:05) correct 55% (01:21) wrong based on 35 sessions

### HideShow timer Statistics

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?

A. 35/36
B. 11/12
C. 5/6
D. 1/6
E. 1/12

_________________
SVP
Joined: 18 Aug 2017
Posts: 1838
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: When two dice are thrown simultaneously, what is the probability that  [#permalink]

### Show Tags

28 Jan 2019, 08:45
Bunuel wrote:
When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?

A. 35/36
B. 11/12
C. 5/6
D. 1/6
E. 1/12

cases when sum >11
(5,6), ( 6,5), ( 6,6)
3/36 = 1/12
P ( sum <1) ; 1-1/12 = 11/12

IMO B
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2577
When two dice are thrown simultaneously, what is the probability that  [#permalink]

### Show Tags

29 Jan 2019, 03:35

Solution

Given:
• Two dice are thrown simultaneously

To find:
• The probability that the sum of the two numbers that turn up < 11

Approach and Working:
• The probability that the sum of the two numbers that turn up < 11 = 1 – (the probability that the sum = 11 + the probability that the sum = 12)
• Therefore, the probability that the sum of the two numbers that turn up < 11 =$$1 – (\frac{2}{6*6} + \frac{1}{6*6}) = 1 - \frac{3}{36} = 1 - \frac{1}{12} = \frac{11}{12}$$

Hence, the correct answer is Option B

_________________

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

Manager
Joined: 22 Sep 2018
Posts: 244
Re: When two dice are thrown simultaneously, what is the probability that  [#permalink]

### Show Tags

30 Jan 2019, 20:04
I have a question regarding the order of the dice combinations

If the first dice rolls a 6 and the second dice rolls a 6, that is 1 combination greater than 11. However, doesn't that mean that we can reverse the order and get the same result?

Hence: 1/6 *1/6 *2 since they can be flipped. Why can we not do that and is there any material I can read to get a better grasp on this concept?
Re: When two dice are thrown simultaneously, what is the probability that   [#permalink] 30 Jan 2019, 20:04
Display posts from previous: Sort by

# When two dice are thrown simultaneously, what is the probability that

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

 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®.