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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The probability that events A and B will both occur is 0.3
[#permalink]
28 Aug 2020, 10:18
28 Aug 2020, 10:18
Expert Reply
2
Bookmarks
00:00
Question Stats:
79% (00:30) correct
20% (00:44) wrong based on 78 sessions
Hide Show timer Statistics
The probability that events A and B will both occur is 0.35.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The probability that event B will occur |
0.42 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The probability that events A and B will both occur is 0.3
[#permalink]
28 Aug 2020, 10:18
28 Aug 2020, 10:18
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Retired Moderator
Joined: 20 Aug 2020
Posts: 49
Given Kudos: 0
Re: The probability that events A and B will both occur is 0.3
[#permalink]
28 Aug 2020, 11:12
28 Aug 2020, 11:12
1
Carcass wrote:
The probability that events A and B will both occur is 0.35.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The probability that event B will occur |
0.42 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
I think if we have a condition that events \(A\) and \(B\) are independent, it would make more sense.
Case 1: Events \(A\) and \(B\) are not independent
Then the probability that the event \(B\) occurs, \(P(B)\) can be any value between \(0\) and \(1\), inclusive.
Case 2: Events \(A\) and \(B\) are independent.
Remind that if events \(A\) and \(B\) are independent each other, then we have \(P(A∩B) = P(A)P(B)\).
We have \(P(A∩B)=P(A)P(B)=0.35\).
Then we may have \(P(A)=1, P(B)=0.35\) and \(P(A)=0.35, P(B)=1\).
We have two cases \(P(B)<0.42\) and \(P(B)>0.42\).
Therefore, D is the answer.
