Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
04 Dec 2019, 00:03
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
46% (02:41) correct
54%
(03:14)
wrong
based on 213
sessions
History
Date
Time
Result
Not Attempted Yet
Andy and Bob play a game in which a computer randomly selects two real numbers between 0 and 10. Andy’s score is the sum of the numbers and Bob’s score is one more than the product of the numbers. If the person with the higher score wins the game, what is the probability that Bob wins?
A. 18%
B. 19%
C. 68%
D. 82%
E. 90%
Are You Up For the Challenge: 700 Level Questions
04 Dec 2019, 08:01
Kudos
Bookmarks
Andy and Bob play a game in which a computer randomly selects two real numbers between 0 and 10. Andy’s score is the sum of the numbers and Bob’s score is one more than the product of the numbers. If the person with the higher score wins the game, what is the probability that Bob wins?
Let two numbers randomly selected by computer are a and b
Bob will win if a*b+1>a+b
ab+1-a-b>0
(a-1)(b-1)>0
either a>1 and b>1 or a<1 and b<1
Total possible area= 10*10= 100
Area which represents that Bob will win (Red highlighted portion)= 1*1+9*9= 82
Probability that Bob will win= 82/100= 0.82 or 82%
Let two numbers randomly selected by computer are a and b
Bob will win if a*b+1>a+b
ab+1-a-b>0
(a-1)(b-1)>0
either a>1 and b>1 or a<1 and b<1
Total possible area= 10*10= 100
Area which represents that Bob will win (Red highlighted portion)= 1*1+9*9= 82
Probability that Bob will win= 82/100= 0.82 or 82%
Attachments
Untitled.png [ 4.46 KiB | Viewed 6428 times ]
General Discussion
04 Dec 2019, 05:28
Kudos
Bookmarks
Quote:
ASSUMING THAT REPETITION IS ALLOWED: ie. 00,11,22,33…
{0,1…0,10}=10 ways AB+1≤A+B
{1,1…1,10}=10 ways AB+1≤A+B
Total cases with reps: 11*11=121
Winning cases with reps: 121-20=101
Probability: 101/121~83.4%
Ans (D)
