Last visit was: 27 Dec 2024, 10:24 It is currently 27 Dec 2024, 10:24
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

Team A has a 50% chance of winning any game that it plays. Team B has

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30515
Own Kudos [?]: 36889 [0]
Given Kudos: 26112
Send PM
Team A has a 50% chance of winning any game that it plays. Team B has [#permalink] New post   18 Mar 2021, 02:40
Expert Reply
00:00

Question Stats:

71% (01:12) correct 28% (00:51) wrong based on 46 sessions

Hide Show timer Statistics

Team A has a 50% chance of winning any game that it plays. Team B has a 60% chance of winning any game that it plays.

Quantity A
Quantity B
The probability that Team A will win its next three games in a row
The probability that Team B will win its next four games in a row



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
ShowHide Answer
Official Answer
B
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3273 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Team A has a 50% chance of winning any game that it plays. Team B has [#permalink] New post   18 Mar 2021, 06:53
1
Carcass wrote:
Team A has a 50% chance of winning any game that it plays. Team B has a 60% chance of winning any game that it plays.

Quantity A
Quantity B
The probability that Team A will win its next three games in a row
The probability that Team B will win its next four games in a row



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


\(P(A) = 0.5\)
\(P(B) = 0.6\)

Col. A: \((0.5)(0.5)(0.5) = \frac{125}{1000}\)
Col. B : \((0.6)(0.6)(0.6)(0.6) = \frac{1296}{10000}\)

Cross-multiply the denominators:

Col. A: \(1250\)
Col. B : \(1296\)

Hence, option B
avatar
B
Papist
Manager
Manager
Joined: 25 Jul 2020
Posts: 75
Own Kudos [?]: 74 [0]
Given Kudos: 1
Send PM
Team A has a 50% chance of winning any game that it plays. Team B has [#permalink] New post   18 Mar 2021, 11:01
I found it easier to solve by converting everything to fraction form.

QA: (1/2)(1/2)(1/2) = 1/8

QB: (3/5)(3/5)(3/5)(3/5) = 81/625, or approximately .129

.129 > .125 (the decimal form of 1/8), so QB is greater.
avatar
charsichoco
Intern
Intern
Joined: 06 Dec 2020
Posts: 30
Own Kudos [?]: 9 [0]
Given Kudos: 1
Send PM
Re: Team A has a 50% chance of winning any game that it plays. Team B has [#permalink] New post   24 Mar 2021, 04:55
Probability of team A winning 3 games continuously= \((0.5)^3\) = 0.1250

Probability of team B winning 4 games continuously= \((0.6)^4\) = 0.1296

Hence Option B is correct
Prep Club for GRE Bot
gmatclubot
Re: Team A has a 50% chance of winning any game that it plays. Team B has [#permalink]
24 Mar 2021, 04:55
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1116 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact