NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 14:56 It is currently 24 Apr 2024, 14:56
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618806 [4]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
When two dice are thrown simultaneously, what is the probability that [#permalink] New post   28 Jan 2019, 07:21
2
Kudos
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

71% (01:14) correct 29% (01:25) wrong based on 173 sessions
Hide Show 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
ShowHide Answer
Official Answer
B
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8018
Own Kudos [?]: 4096 [1]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: When two dice are thrown simultaneously, what is the probability that [#permalink] New post   28 Jan 2019, 09:45
1
Kudos
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
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16832 [0]
Given Kudos: 165
Send PM
When two dice are thrown simultaneously, what is the probability that [#permalink] New post   29 Jan 2019, 04:35
Expert Reply

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

Answer: B

User avatar
S
NinetyFour
Manager
Manager
Joined: 22 Sep 2018
Posts: 191
Own Kudos [?]: 173 [0]
Given Kudos: 78
Send PM
Re: When two dice are thrown simultaneously, what is the probability that [#permalink] New post   30 Jan 2019, 21:04
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?
avatar
B
coylahood
Intern
Intern
Joined: 04 Feb 2018
Posts: 47
Own Kudos [?]: 18 [0]
Given Kudos: 5
Send PM
Re: When two dice are thrown simultaneously, what is the probability that [#permalink] New post   29 Oct 2019, 17:30
EgmatQuantExpert wrote:

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

Answer: B



The attached table comes in handy for quickly resolving problems involving sums of 2 and 3 dice. It is worth memorizing to save time. With these tables I can solve problems involving sums of 2 and 3 dices in less than 1 minute.
Attachments

Probability Distributions for the Sum of 2 and 3 Dice.doc [42.5 KiB]
Downloaded 64 times

User avatar
S
merajul
Manager
Manager
Joined: 05 Oct 2014
Posts: 133
Own Kudos [?]: 38 [0]
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
GMAT Date: 07-23-2015
GMAT 1: 580 Q41 V28
GPA: 3.8
WE:Project Management (Energy and Utilities)
Send PM
Re: When two dice are thrown simultaneously, what is the probability that [#permalink] New post   12 May 2020, 09:14
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

All possibilities except (5,6) ; (6,5) ; (6,6) where the sum of two numbers is > 11

Total possibilities, 6*6 =36, since with each number has 6 pairs

Thus P (A) = (36-3) /36 = 33/36 = 11/12 (Ans -B)
User avatar
D
BrushMyQuant
Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 1777
Own Kudos [?]: 2094 [0]
Given Kudos: 100
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Send PM
Re: When two dice are thrown simultaneously, what is the probability that [#permalink] New post   09 Oct 2022, 08:59
Expert Reply
Top Contributor
Given that two dice are thrown simultaneously and we need to find what is the probability that the sum of the two numbers that turn up is less than 11?

As we are rolling two dice => Number of cases = \(6^2\) = 36

Out of the 36 cases only three cases are there where the sum will be 11 or more. These cases are (5,6), (6,5) and (6,6)
=> For 36 - 3 = 33 cases we will have the sum less than 11

=> Probability that the sum will be less than 11 = \(\frac{33}{36}\) = \(\frac{11}{12}\)

So, Answer will be B
Hope it helps!

Watch the following video to learn How to Solve Dice Rolling Probability Problems

GMAT Club Bot
gmatclubot
Re: When two dice are thrown simultaneously, what is the probability that [#permalink]
09 Oct 2022, 08:59
Moderators:
Bunuel
Math Expert
92902 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions