Last visit was: 16 Nov 2024, 07:08 It is currently 16 Nov 2024, 07:08

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: 29962
Own Kudos [?]: 36246 [11]
Given Kudos: 25911
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29962
Own Kudos [?]: 36246 [0]
Given Kudos: 25911
Send PM
Manager
Manager
Joined: 25 Jul 2020
Posts: 75
Own Kudos [?]: 74 [2]
Given Kudos: 1
Send PM
avatar
Manager
Manager
Joined: 22 Jan 2020
Posts: 120
Own Kudos [?]: 239 [4]
Given Kudos: 10
Send PM
Re: x > 0 and the probability that event A will occur is x, and [#permalink]
2
2
Bookmarks
P(A)=x
P(complement of A)=y

but P(complement of A)=1-P(A)=1-x
so
1-x=y

also y>3x
therefore 1-x>3x
1>4x
x<1/4
since 1/4=.25 and 1/5=.2
x can be .23 and therefore we have choice A
x can be .15 and therefore we have choice B

Final answer is choice D
Manager
Manager
Joined: 02 Sep 2019
Posts: 181
Own Kudos [?]: 144 [1]
Given Kudos: 94
Concentration: Finance
GRE 1: Q151 V148
GPA: 3.14
Send PM
Re: x > 0 and the probability that event A will occur is x, and [#permalink]
1
Given that P(A)= x and p(A not occurring)= y
And x+y = 1
And y>3x
Asking what is bigger? x or 1/5
If we assume that x= 1/5=0.2, then y=0.8 (1-0.2)
it seems that x can be equal to 1/5. Quantity A = Quantity B
However, there are other possibilities that can meet the conditions above. x+y=1 and y>3x
x=0.22 and y= 0.88
x=0.15 and y=0.85
x=0.10 and y=0.90
answer is D
Retired Moderator
Joined: 09 Jan 2021
Posts: 576
Own Kudos [?]: 846 [2]
Given Kudos: 194
GRE 1: Q167 V156
GPA: 4
WE:Analyst (Investment Banking)
Send PM
Re: x > 0 and the probability that event A will occur is x, and [#permalink]
2
Hi,

The thought process that I had while solving this questions is as y>3x i.e x<1/4 why because if x=1/4 then, y=3/4 and then when we multiply x by 3 we get x=3/4 i.e. x=y and we want y>3x thus any value below 1/4 including 1/5,1/6, 1/7 etc. can be the value of x.

Thus the answer is D

Hope this helps!
Manager
Manager
Joined: 02 Sep 2019
Posts: 181
Own Kudos [?]: 144 [0]
Given Kudos: 94
Concentration: Finance
GRE 1: Q151 V148
GPA: 3.14
Send PM
Re: x > 0 and the probability that event A will occur is x, and [#permalink]
Ks1859 wrote:
Hi,

The thought process that I had while solving this questions is as y>3x i.e x<1/4 why because if x=1/4 then, y=3/4 and then when we multiply x by 3 we get x=3/4 i.e. x=y and we want y>3x thus any value below 1/4 including 1/5,1/6, 1/7 etc. can be the value of x.

Thus the answer is D

Hope this helps!


Nice :thumbsup:
avatar
Intern
Intern
Joined: 09 Mar 2022
Posts: 1
Own Kudos [?]: 1 [1]
Given Kudos: 3
Send PM
Re: x > 0 and the probability that event A will occur is x, and [#permalink]
1
x+y = 1
y = 1 - x
1 - x > 3x
Thus compare it with x= 1/4, x= 1/5, x=1/6
for x=1/4, 3/4 = 3/4
for x=1/5, 4/5>3/5
for x=1/6, 5/6>3/6
Thus since x=1/5 or x=1/6 satisfies the given inequality, answer is D.
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5014
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: x > 0 and the probability that event A will occur is x, and [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
Re: x > 0 and the probability that event A will occur is x, and [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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