GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 26 Aug 2019, 00:30

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.

Close

Request Expert Reply

Confirm Cancel

In a certain game, in Phase 1 you flip one coin as many as 3 times. If

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
B
Joined: 31 Jul 2016
Posts: 10
In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

Show Tags

New post Updated on: 29 Apr 2018, 09:00
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (01:47) correct 20% (02:34) wrong based on 71 sessions

HideShow timer Statistics

In a certain game, in Phase 1 you flip one coin as many as 3 times. If you flip 3 tails you lose. As soon as you get your first head, you advance to Phase 2. In Phase 2, you roll a six-sided die once. If you roll a 6, you win. For any other roll, you lose. What is the probability of wining?

A. 1/48
B. 5/48
C. 7/48
D. 35/48
E. 7/8

Attachment:
20180429_204655.png
20180429_204655.png [ 440.68 KiB | Viewed 952 times ]

Originally posted by nishore1 on 29 Apr 2018, 08:28.
Last edited by Bunuel on 29 Apr 2018, 09:00, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Intern
Intern
avatar
B
Joined: 22 Dec 2015
Posts: 8
Reviews Badge
Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

Show Tags

New post 29 Apr 2018, 08:50
3
Phase 1: Use 1-x approach
P(losing 3 times) = 1/2 x 1/2 x 1/2 = 1/8
Therefore P(winning) = 1-1/8 = 7/8

Phase 2:P(6) = 1/6

Therefore, P (P1xP2)= 7/8 * 1/6 = 7/48
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57287
Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

Show Tags

New post 29 Apr 2018, 09:02
nishore1 wrote:
In a certain game, in Phase 1 you flip one coin as many as 3 times. If you flip 3 tails you lose. As soon as you get your first head, you advance to Phase 2. In Phase 2, you roll a six-sided die once. If you roll a 6, you win. For any other roll, you lose. What is the probability of wining?

A. 1/48
B. 5/48
C. 7/48
D. 35/48
E. 7/8

Attachment:
20180429_204655.png


Please read carefully and follow our RULES OF POSTING. Thank you.
_________________
Intern
Intern
avatar
B
Joined: 31 Jul 2016
Posts: 10
Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

Show Tags

New post 29 Apr 2018, 10:55
Bunuel wrote:
nishore1 wrote:
In a certain game, in Phase 1 you flip one coin as many as 3 times. If you flip 3 tails you lose. As soon as you get your first head, you advance to Phase 2. In Phase 2, you roll a six-sided die once. If you roll a 6, you win. For any other roll, you lose. What is the probability of wining?

A. 1/48
B. 5/48
C. 7/48
D. 35/48
E. 7/8

Attachment:
20180429_204655.png


Please read carefully and follow our RULES OF POSTING. Thank you.

Sure

Sent from my SM-G925I using GMAT Club Forum mobile app
Director
Director
avatar
P
Joined: 02 Oct 2017
Posts: 726
Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

Show Tags

New post 16 May 2018, 06:43
Probability of head= 1- probability of no head
=1-1/8=7/8
(Only one case out of 8 when three tails appear)

Probability of 6=1/6

So 7/8*1/6=7/48

Posted from my mobile device
_________________
Give kudos if you like the post
SVP
SVP
User avatar
V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1694
Location: India
Concentration: International Business, Operations
Schools: INSEAD Jan '19
GPA: 3.01
WE: Engineering (Real Estate)
Reviews Badge
Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

Show Tags

New post 02 Jun 2018, 00:00
nishore1 wrote:
In a certain game, in Phase 1 you flip one coin as many as 3 times. If you flip 3 tails you lose. As soon as you get your first head, you advance to Phase 2. In Phase 2, you roll a six-sided die once. If you roll a 6, you win. For any other roll, you lose. What is the probability of wining?

A. 1/48
B. 5/48
C. 7/48
D. 35/48
E. 7/8

Attachment:
20180429_204655.png


Phase 1 : P(H) = 1 - P(All tails)

P(H) = 1 - (1/2*1/2*1/2)

P(H) = 1 - 1/8

P(H) = 7/8 (WIN)

Phase 2 : 1/6 (WIN)

Combined win = 7/8 * 1/6

7/48
(C)
_________________
"Do not watch clock; Do what it does. KEEP GOING."
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 12093
Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

Show Tags

New post 05 Aug 2019, 12:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If   [#permalink] 05 Aug 2019, 12:36
Display posts from previous: Sort by

In a certain game, in Phase 1 you flip one coin as many as 3 times. If

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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