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

It is currently 13 Nov 2019, 15:04

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

The probability that John will pass in all subjects in final Exam is 0

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

Hide Tags

Find Similar Topics 
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1271
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 10:00
1
11
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

51% (01:30) correct 49% (02:09) wrong based on 105 sessions

HideShow timer Statistics

Weekly Quant Quiz Question -1



The probability that John will pass in all subjects in final Exam is 0.69 and the probability that John will be promoted to next class is 0.73. What is the greatest probability that neither of the two events will occur.
a) 0.11
b) 0.27
c) 0.41
d) 0.56
e) 0.62

_________________
Most Helpful Community Reply
Senior Manager
Senior Manager
User avatar
D
Joined: 05 Jul 2018
Posts: 462
Location: India
Concentration: General Management, Technology
GMAT 1: 600 Q47 V26
GRE 1: Q162 V149
GPA: 3.6
WE: Information Technology (Consulting)
Reviews Badge CAT Tests
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 11:04
3
2
p(pass in all subjects)=0.69 is just a subset of P(promoted to next class)=0.73. What this means is that of all the students that get promoted to next class, few(0.69) will pass in all subjects.

Hence those who neither pass in all subjects not get promoted can not be more than 1-0.73 = 0.27, and hence the answer is B
_________________
General Discussion
Intern
Intern
avatar
B
Joined: 24 Sep 2013
Posts: 24
Location: Saudi Arabia
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 10:07
1
P(Pass) = 0.69
P(Not Pass ) = 1- 0.69 = 0.31

P(Promoted) = 0.73
P(Not Promoted) = 1-0.73 = 0.27

P(Neither) = 0.31+0.27=0.56
Senior PS Moderator
User avatar
D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 732
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
GMAT ToolKit User Reviews Badge
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 10:08
3
1
Please find solution attached. IMO B.
Attachments

Q1_sep29.jpeg
Q1_sep29.jpeg [ 108.47 KiB | Viewed 1905 times ]


_________________
Regards,
Gladi



“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Intern
Intern
avatar
Joined: 10 Dec 2017
Posts: 2
GMAT ToolKit User
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 10:14
B, 0.27

seek the biggest probability for John to occur in the events, then the rest of it it's the probability for John to not occur in the event. Because the opposite from the biggest probability for the events to occur is the probability for the things will not occur

Posted from my mobile device
Intern
Intern
avatar
Joined: 27 Sep 2018
Posts: 1
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 10:17
Probability is .27

Posted from my mobile device
Director
Director
User avatar
P
Joined: 20 Sep 2016
Posts: 640
Location: India
Concentration: Strategy, Operations
GPA: 3.95
WE: Operations (Real Estate)
GMAT ToolKit User
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 10:25
1
Total outcome= A + B+ Both+ none.

We have to maximize the probability and so we have to minimzie other outcomes.
The greatest subset given is .73 which can include .69

hence think of the problem as a big subset which includes a smaller subject. Whatever left is the neither .

SO answer = 1-.73 =.27
Manager
Manager
avatar
G
Joined: 23 Aug 2016
Posts: 101
Location: India
Concentration: Finance, Strategy
GMAT 1: 660 Q49 V31
GPA: 2.84
WE: Other (Energy and Utilities)
Reviews Badge
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 10:30
X(failUnotpromoted)=x(fail)+x(notpromoted)-x(failINTERSECTION notpormoted)
=0.31+0.27-0.31*0.27
=0.53
Asnwer=D
_________________
Thanks and Regards,

Honneeey.

In former years,Used to run for "Likes", nowadays, craving for "Kudos". :D
Senior Manager
Senior Manager
avatar
P
Joined: 17 Mar 2014
Posts: 426
GMAT ToolKit User Reviews Badge
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 29 Sep 2018, 15:39
1
The probability that John will pass in all subjects in final Exam is 0.69 and the probability that John will be promoted to next class is 0.73. What is the greatest probability that neither of the two events will occur.

Probability that John will not pass in all final subjects= 1- 0.69= .31
Probability that he will not be promoted to next class is 1-0.73 = .27

Greatest probability that neither of these two event occur is .27
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13568
Re: The probability that John will pass in all subjects in final Exam is 0  [#permalink]

Show Tags

New post 20 Oct 2019, 05:47
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: The probability that John will pass in all subjects in final Exam is 0   [#permalink] 20 Oct 2019, 05:47
Display posts from previous: Sort by

The probability that John will pass in all subjects in final Exam is 0

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





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