BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

While playing a certain dice game, Chris wins if the sum of

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2058
Joined: Sun Oct 29, 2017 4:24 am
Thanked: 1 times
Followed by:5 members

While playing a certain dice game, Chris wins if the sum of

by M7MBA » Fri Apr 05, 2019 11:33 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

While playing a certain dice game, Chris wins if the sum of the two dice is 7, at which point the game is over. If the game allows Chris three rolls in an attempt to win, what is the probability that Chris will win?

A. 1/2
B. 17/36
C. 91/216
D. 11/36
E. 25/216

[spoiler]OA=C[/spoiler]

Source: Veritas Prep
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1100
Joined: Sat May 10, 2014 11:34 pm
Location: New Delhi, India
Thanked: 205 times
Followed by:24 members

by GMATinsight » Fri Apr 05, 2019 11:28 pm
M7MBA wrote:While playing a certain dice game, Chris wins if the sum of the two dice is 7, at which point the game is over. If the game allows Chris three rolls in an attempt to win, what is the probability that Chris will win?

A. 1/2
B. 17/36
C. 91/216
D. 11/36
E. 25/216

[spoiler]OA=C[/spoiler]

Source: Veritas Prep
The possible results of the two dice = 6*6 = 36

Favourable cases of sum 7 = (1,6)(2,5)(3,4)(4,3)(5,2)(6,1) = 6 cases

Probability of him winning in each throw = 6/36 = 1/6

i,.e. Probability of him not winning in each throw = 1-(1/6) = 5/6)

One chance includes three throws

Probability of winning ina chance = 1- (probability of not winning in a chance i.e. three throws) = 1-(5/6)*(5/6)*(5/6) = 1- (125/216) = 91/216

Answer: Option C
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Top
Post new topic Post Reply
• Page 1 of 1