Last visit was: 27 Apr 2024, 04:52 It is currently 27 Apr 2024, 04:52
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

For a certain probability experiment, P(A)=0.75 and P(B)=0.5

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28658
Own Kudos [?]: 33139 [0]
Given Kudos: 25178
Send PM
For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   18 Sep 2019, 13:36
1
Expert Reply
00:00

Question Stats:

100% (01:04) correct 0% (00:00) wrong based on 5 sessions

Hide Show timer Statistics

For a certain probability experiment, P(A)=0.75 and P(B)=0.5. Which of the following values could be the probability that Event (A and B) will occur?

A. \(\frac{1}{6}\)

B. \(\frac{1}{5}\)

C. \(\frac{1}{3}\)

D. \(\frac{2}{3}\)

E. \(\frac{3}{4}\)

OA is not provided
avatar
fdundo
Intern
Intern
Joined: 11 Jul 2019
Posts: 16
Own Kudos [?]: 101 [0]
Given Kudos: 0
Concentration: General Management, Social Entrepreneurship
GRE 1: Q162 V154
WE:Project Management (Internet and New Media)
Send PM
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   19 Sep 2019, 01:24
max overlap = 0.5
min overlap can be 0

Is the answer A,B,C?
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2214 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   19 Sep 2019, 04:22
1
Carcass wrote:
For a certain probability experiment, P(A)=0.75 and P(B)=0.5. Which of the following values could be the probability that Event (A and B) will occur?

A. \(\frac{1}{6}\)

B. \(\frac{1}{5}\)

C. \(\frac{1}{3}\)

D. \(\frac{2}{3}\)

E. \(\frac{3}{4}\)

OA is not provided



If it would have been a MCQ , then it will be Option D, since there is no mention whether 2 events are independent or dependent

Here,

probability that Event (A and B) will occur = \(P(A) * P(B) = 0.75 * 0.5 = 0.375 = \frac{3}{8}\)

Hence the probability could be : Option A , Option B and Option C
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28658
Own Kudos [?]: 33139 [0]
Given Kudos: 25178
Send PM
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   19 Sep 2019, 04:24
1
Expert Reply
Wait.

This, ideally, is a single answer choice.

There is nowhere in the stem: select all the apply
avatar
fdundo
Intern
Intern
Joined: 11 Jul 2019
Posts: 16
Own Kudos [?]: 101 [0]
Given Kudos: 0
Concentration: General Management, Social Entrepreneurship
GRE 1: Q162 V154
WE:Project Management (Internet and New Media)
Send PM
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   Updated on: 19 Sep 2019, 19:42
1
I read about this concept on a blog :

To find the range of overlap -

1. Max overlap = 0.5
smaller of the 2 i.e smaller of 0.75 and 0.5

2. To find min overlap :

P(AuB) = P(A) + P(B) - P(A and B) [Using max value of P(AuB) as 1 to minmise P(A and B)]
Therefore, 1 = 0.75 + 0.5 - P(A and B)
=> P(A and B) = 0.25

Hence, min overlap = 0.25

Therefore, value has to lie between 0.25 and 0.5 i.e option C (1/3 = 0.33)

Does this make sense? Why cant we assume min overlap as 0 btw?

Originally posted by fdundo on 19 Sep 2019, 04:48.
Last edited by fdundo on 19 Sep 2019, 19:42, edited 2 times in total.
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2214 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   19 Sep 2019, 05:03
fdundo wrote:
I read about this concept on a blog :

To find the range of overlap -

1. Max overlap = 0.5
smaller of the 2 i.e smaller of 0.75 and 0.5

2. To find min overlap : P(AuB) = P(A) + P(B) - P(A and B)

[Using max value of P(AuB) as 1 to minmise P(A and B)]

Therefore, 1 = 0.75 + 0.5 - P(A and B)
=> P(A and B) = 0.25

Therefore, value has to lie between 0.25 and 0.5 i.e option C (1/3 = 0.33)

Does this make sense? Why cant we assume min overlap as 0 btw?


yes, the range of the probability can be from 0 to 1.

Here what is the probability of P (A) + P(B) = ? . This equals to 1.25, which is greater than 1

Meaning there is an overlap , so the minimum can't be zero
avatar
fdundo
Intern
Intern
Joined: 11 Jul 2019
Posts: 16
Own Kudos [?]: 101 [0]
Given Kudos: 0
Concentration: General Management, Social Entrepreneurship
GRE 1: Q162 V154
WE:Project Management (Internet and New Media)
Send PM
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   19 Sep 2019, 05:08
1
Great, makes sense. This was super helpful! Thanks @carcass and @pranab01
avatar
logann2
Manager
Manager
Joined: 22 Aug 2019
Posts: 96
Own Kudos [?]: 80 [0]
Given Kudos: 0
Send PM
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   19 Sep 2019, 10:48
fdundo wrote:
max overlap = 0.5
min overlap can be 0

Is the answer A,B,C?


Why is the min overlap 0?
0.5 + 0.75 = 1.25 so would that imply the minimal overlap is .25?


----------------
ahhh was confirmed further down that 0 can't be the min. Is the minimal overlap .25?
User avatar
sal60
Active Member
Active Member
Joined: 27 Aug 2019
Posts: 59
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM

Top Member of the Month
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   17 Oct 2019, 12:57
Carcass can you provide the right answer?
I do think E could be the solution.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28658
Own Kudos [?]: 33139 [0]
Given Kudos: 25178
Send PM
Re: For a certain probability experiment, P(A)=0.75 and P(B)=0.5 [#permalink] New post   17 Oct 2019, 15:45
Expert Reply
To be honest I strongly suggest forgetting this question because is badly worded.

The explanation provided by pranab01 above makes sense, though. Do not be foolish but the author of this post (which is me) I did not post this question.

For different reasons behind, I am in the first post but these questions are not on my radar when I post on the board.

basically it is a bad copy of the following official question https://gre.myprepclub.com/forum/qotd-19-f ... -2639.html

Regards
Prep Club for GRE Bot
gmatclubot
[#permalink]
Moderators:
BrushMyQuant
Moderator
1085 posts
VibhuAnurag
GRE Instructor
218 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