Last visit was: 21 Nov 2024, 13:47 It is currently 21 Nov 2024, 13:47

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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36336 [15]
Given Kudos: 25927
Send PM
Most Helpful Community Reply
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [4]
Given Kudos: 136
Send PM
General Discussion
Intern
Intern
Joined: 23 Feb 2021
Posts: 7
Own Kudos [?]: 2 [1]
Given Kudos: 12
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [2]
Given Kudos: 136
Send PM
Re: The probability that independent events C and D will both occur is 0.1 [#permalink]
1
1
Bookmarks
Richa1993 wrote:
how is smallest possible value is when d=1...shouldn't that be greatest??
and shouldn't ans be "d"?
Please explain.


At the moment, we're comparing the following:
QUANTITY A: 0.11/d
QUANTITY B: 0.09

Let's test some possible values of d.

If d = 1, then we get:
QUANTITY A: 0.11/d = 0.11/1 = 0.11
QUANTITY B: 0.09
In this case, Quantity A is greater


If d = 0.7 then we get:
QUANTITY A: 0.11/d = 0.11/0.7 ≈ 0.157
QUANTITY B: 0.09
In this case, Quantity A is greater


If d = 0.5, then we get:
QUANTITY A: 0.11/d = 0.11/0.5 = 0.22
QUANTITY B: 0.09
In this case, Quantity A is greater


If d = 0.25, then we get:
QUANTITY A: 0.11/d = 0.11/0.25 = 0.44
QUANTITY B: 0.09
In this case, Quantity A is greater


If d = 0.1, then we get:
QUANTITY A: 0.11/d = 0.11/0.1 = 1.1
QUANTITY B: 0.09
In this case, Quantity A is greater

So, since 0 < d ≤ 1, we can be certain that Quantity A is greater
Intern
Intern
Joined: 23 Feb 2021
Posts: 7
Own Kudos [?]: 2 [0]
Given Kudos: 12
Send PM
Re: The probability that independent events C and D will both occur is 0.1 [#permalink]
GreenlightTestPrep wrote:
Richa1993 wrote:
how is smallest possible value is when d=1...shouldn't that be greatest??
and shouldn't ans be "d"?
Please explain.


At the moment, we're comparing the following:
QUANTITY A: 0.11/d
QUANTITY B: 0.09

Let's test some possible values of d.

If d = 1, then we get:
QUANTITY A: 0.11/d = 0.11/1 = 0.11
QUANTITY B: 0.09
In this case, Quantity A is greater


If d = 0.7 then we get:
QUANTITY A: 0.11/d = 0.11/0.7 ≈ 0.157
QUANTITY B: 0.09
In this case, Quantity A is greater


If d = 0.5, then we get:
QUANTITY A: 0.11/d = 0.11/0.5 = 0.22
QUANTITY B: 0.09
In this case, Quantity A is greater


If d = 0.25, then we get:
QUANTITY A: 0.11/d = 0.11/0.25 = 0.44
QUANTITY B: 0.09
In this case, Quantity A is greater


If d = 0.1, then we get:
QUANTITY A: 0.11/d = 0.11/0.1 = 1.1
QUANTITY B: 0.09
In this case, Quantity A is greater

So, since 0 < d ≤ 1, we can be certain that Quantity A is greater


Righht!! my bad..thanks so much.
Manager
Manager
Joined: 06 Jun 2021
Posts: 78
Own Kudos [?]: 13 [0]
Given Kudos: 61
Send PM
Re: The probability that independent events C and D will both occur is 0.1 [#permalink]
I know I did something really wrong here, but I can't figure out why we can't write the equation as this.

While solving this question for the first time, I wrote this.

What is wrong with this approach? Doesn't the equation above explain independent probabilities?
Attachments

20221003_235019.jpg
20221003_235019.jpg [ 82.84 KiB | Viewed 3884 times ]

Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36336 [0]
Given Kudos: 25927
Send PM
Re: The probability that independent events C and D will both occur is 0.1 [#permalink]
Expert Reply
This is more logic than an equation to be frank

C * D = 0.11

To have at least 0.11 C cannot be as low as 0.9. Must be greater

So C > 0.9

A is the answer
avatar
Intern
Intern
Joined: 26 Nov 2023
Posts: 1
Own Kudos [?]: 1 [1]
Given Kudos: 1
Send PM
Re: The probability that independent events C and D will both occur is 0.1 [#permalink]
1
Can’t it be possible that
Both probabilities are 0.055
As 0.055*0.055= 0.11
And p(c) is less than 0.09
Another, 0.11
It varies so D ???
Qn isn’t saying min/max so how can we consider p(d)=1 only it could be anything

Posted from my mobile device
Intern
Intern
Joined: 17 Dec 2023
Posts: 33
Own Kudos [?]: 17 [0]
Given Kudos: 3
Send PM
Re: The probability that independent events C and D will both occur is 0.1 [#permalink]
Carcass can this question be solved this way?
is this approach right?
probability of both C and D of happening = 0.11
probability of both events not happening is = 0.89
1 - .89*.89 = (Approx 0.2)
QA>QB
Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36336 [0]
Given Kudos: 25927
Send PM
Re: The probability that independent events C and D will both occur is 0.1 [#permalink]
Expert Reply
:thumbsup:
Prep Club for GRE Bot
Re: The probability that independent events C and D will both occur is 0.1 [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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