NEW HERE? LEARN MORE
closeclose
Last visit was: 29 Apr 2024, 04:35 It is currently 29 Apr 2024, 04:35
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

A player throws a fair six-sided die. If a prime number is obtained

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92990
Own Kudos [?]: 619845 [2]
Given Kudos: 81626
Send PM
CAT Tests Forum Quiz Mode
A player throws a fair six-sided die. If a prime number is obtained [#permalink] New post   07 Apr 2023, 01:30
1
Kudos
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

75% (hard)

Question Stats:

40% (01:48) correct 60% (01:51) wrong based on 40 sessions
Hide Show timer Statistics
A player throws a fair six-sided die. If a prime number is obtained, he wins an amount equal to the number rolled times 100 dollars, but if a prime number is not obtained, he loses an amount equal to the number rolled times 100 dollars. What is the provability that after two throws the player wins 400 dollars?

A. 1/10
B. 1/12
C. 1/18
D. 1/24
E. 1/36


ShowHide Answer
Official Answer
B
User avatar
L
gmatophobia
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3101
Own Kudos [?]: 4148 [2]
Given Kudos: 1851
Location: India
Concentration: Strategy, Leadership
Send PM
CAT Tests Forum Quiz Mode
Re: A player throws a fair six-sided die. If a prime number is obtained [#permalink] New post   07 Apr 2023, 02:52
2
Kudos
Bunuel wrote:
A player throws a fair six-sided die. If a prime number is obtained, he wins an amount equal to the number rolled times 100 dollars, but if a prime number is not obtained, he loses an amount equal to the number rolled times 100 dollars. What is the provability that after two throws the player wins 400 dollars?

A. 1/10
B. 1/12
C. 1/18
D. 1/24
E. 1/36


The favorable pairs of (Dice 1, Dice 2) are (1,5), (2,2), and (5,1).

Total pairs = 36

Required Probability = 3/36 = 1/12

Option B
User avatar
G
hinasingh
Manager
Manager
Joined: 05 Sep 2022
Posts: 129
Own Kudos [?]: 113 [2]
Given Kudos: 8
Location: India
Send PM
Re: A player throws a fair six-sided die. If a prime number is obtained [#permalink] New post   07 Apr 2023, 03:07
2
Kudos
A player throws a fair six-sided die. If a prime number is obtained, he wins an amount equal to the number rolled times 100 dollars, but if a prime number is not obtained, he loses an amount equal to the number rolled times 100 dollars. What is the provability that after two throws the player wins 400 dollars?

Possible Prime number's on rolling a dice are - 2, 3 and 5

But to win 400 dollars, the possible combinations are - (5,1 or 1,5) and (2,2)
Total combinations possible are 6*6 = 36

Therefore, the required probability = 3/36 = 1/12
Answer B
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14836
Own Kudos [?]: 64982 [2]
Given Kudos: 428
Location: Pune, India
Send PM
Re: A player throws a fair six-sided die. If a prime number is obtained [#permalink] New post   07 Apr 2023, 04:11
2
Kudos
Expert Reply
Bunuel wrote:
A player throws a fair six-sided die. If a prime number is obtained, he wins an amount equal to the number rolled times 100 dollars, but if a prime number is not obtained, he loses an amount equal to the number rolled times 100 dollars. What is the provability that after two throws the player wins 400 dollars?

A. 1/10
B. 1/12
C. 1/18
D. 1/24
E. 1/36


This is a PS Butler Question



2, 3, 5 - winning numbers that will give him $200, 300 and 500 respectively
1, 4, 6 - Losing numbers that will make him lose $100, 400, 600 respectively

To WIN overall $400, he either wins on each turn or wins on one and loses on another.

Wins on each turn - He must throw 2 twice to make $400. He can't make 400 in any other way.
Probability = 1/6 * 1/6 = 1/36

Wins on one and loses on another - He must throw a 5 and a 1 to make $400.
Probability = 1/6 * 1/6 * 2 = 1/18

Overall probability = 1/12

Answer (B)
GMAT Club Bot
gmatclubot
Re: A player throws a fair six-sided die. If a prime number is obtained [#permalink]
07 Apr 2023, 04:11
Moderators:
Bunuel
Math Expert
92990 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