Nov 28 08:00 PM PST  09:00 PM PST Magoosh is excited to offer you a free GRE practice test with video answers and explanations. If you’re thinking about taking the GRE or want to see how effective your GRE test prep has been, pinpoint your strengths and weaknesses with this quiz! Dec 02 07:30 AM PST  08:30 AM PST This webinar will focus on evaluating reading comprehension questions on the GRE and GMAT. This 60 minute class will be a mix of "presentation" and Q&A where students can get specific questions answered. Dec 04 10:00 PM PST  11:00 PM PST Regardless of whether you choose to study with Greenlight Test Prep, I believe you'll benefit from my many free resources.
Author 
Message 
TAGS:


Intern
Joined: 19 Mar 2018
Posts: 14
Followers: 0
Kudos [?]:
9
[0], given: 4

Probability that at least one of the event occurs is ? [#permalink]
19 Mar 2018, 09:01
Question Stats:
62% (01:00) correct
37% (01:02) wrong based on 16 sessions
Probability of an event A occurring is 0.2 Probability of an event B occurring is 0.3
What is the range of probabilities that at least one event will occur?




Founder
Joined: 18 Apr 2015
Posts: 13883
Followers: 313
Kudos [?]:
3672
[0], given: 12901

Re: Probability that at least one of the event occurs is ? [#permalink]
19 Mar 2018, 10:29



Intern
Joined: 20 Mar 2018
Posts: 39
GRE 1: Q163 V149 GRE 2: Q168 V162
GPA: 3.5
Followers: 1
Kudos [?]:
40
[1]
, given: 8

Re: Probability that at least one of the event occurs is ? [#permalink]
20 Mar 2018, 22:53
1
This post received KUDOS
Let's say the events are A and B. Essentially, we have to find the range of P(A or B)
P(A or B) = P(A) + P(B)  P(A and B)
The maximum probability of occurrence of any one of the events is when the events are mutually exclusive i.e. P (A and B) = 0. So, P(A or B) = 0.2 + 0.3 = 0.5 The minimum probability of occurrence of any one of the events is when the intersection is maximum i.e P(A and B) = 0.2. So, P(A or B) = 0.2 + 0.3  0.2 = 0.3
Range: 0.3 to 0.5



Intern
Joined: 19 Mar 2018
Posts: 14
Followers: 0
Kudos [?]:
9
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 00:03
So if P(A) = 0.8 and P(B) = 0.7 then max probability is 1.5 ? That doesnt seem right. Posted from my mobile device



Manager
Joined: 27 Sep 2017
Posts: 111
Followers: 1
Kudos [?]:
47
[1]
, given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 00:27
1
This post received KUDOS
cyanApples wrote: So if P(A) = 0.8 and P(B) = 0.7 then max probability is 1.5 ? That doesnt seem right. Posted from my mobile device OK, since you post the question, can you offer the Answer?



Intern
Joined: 19 Mar 2018
Posts: 14
Followers: 0
Kudos [?]:
9
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 00:30
Well I'm unsure hence I posted ? Posted from my mobile device



Manager
Joined: 27 Sep 2017
Posts: 111
Followers: 1
Kudos [?]:
47
[2]
, given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 00:31
2
This post received KUDOS
novice07 wrote: Let's say the events are A and B. Essentially, we have to find the range of P(A or B)
P(A or B) = P(A) + P(B)  P(A and B)
The maximum probability of occurrence of any one of the events is when the events are mutually exclusive i.e. P (A and B) = 0. So, P(A or B) = 0.2 + 0.3 = 0.5 The minimum probability of occurrence of any one of the events is when the intersection is maximum i.e P(A and B) = 0.2. So, P(A or B) = 0.2 + 0.3  0.2 = 0.3
Range: 0.3 to 0.5 Though I agree with the maximum, but I have with minimum value. i think we can choose 0.2 NOT 0.3, since we think that at least B occur. then it would be 0.2. range: 0.20.5.



Intern
Joined: 20 Mar 2018
Posts: 39
GRE 1: Q163 V149 GRE 2: Q168 V162
GPA: 3.5
Followers: 1
Kudos [?]:
40
[0], given: 8

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 01:25
Peter wrote: novice07 wrote: Let's say the events are A and B. Essentially, we have to find the range of P(A or B)
P(A or B) = P(A) + P(B)  P(A and B)
The maximum probability of occurrence of any one of the events is when the events are mutually exclusive i.e. P (A and B) = 0. So, P(A or B) = 0.2 + 0.3 = 0.5 The minimum probability of occurrence of any one of the events is when the intersection is maximum i.e P(A and B) = 0.2. So, P(A or B) = 0.2 + 0.3  0.2 = 0.3
Range: 0.3 to 0.5 Though I agree with the maximum, but I have with minimum value. i think we can choose 0.2 NOT 0.3, since we think that at least B occur. then it would be 0.2. range: 0.20.5. You're correct. Thanks Peter. +1 Kudos



Intern
Joined: 21 Mar 2018
Posts: 1
Followers: 0
Kudos [?]:
4
[4]
, given: 0

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 06:26
4
This post received KUDOS
0.44



Manager
Joined: 27 Sep 2017
Posts: 111
Followers: 1
Kudos [?]:
47
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 08:22
oyetundekabiru wrote: 0.44 explain it, thanks
Last edited by Peter on 21 Mar 2018, 08:37, edited 1 time in total.



Manager
Joined: 27 Sep 2017
Posts: 111
Followers: 1
Kudos [?]:
47
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 08:25
cyanApples wrote: Well I'm unsure hence I posted ? Posted from my mobile device Please give the source of the question.



Intern
Joined: 19 Mar 2018
Posts: 14
Followers: 0
Kudos [?]:
9
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 09:31
It's from the actual GRE. Posted from my mobile device



Founder
Joined: 18 Apr 2015
Posts: 13883
Followers: 313
Kudos [?]:
3672
[0], given: 12901

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 15:10



Intern
Joined: 19 Mar 2018
Posts: 14
Followers: 0
Kudos [?]:
9
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 18:14
Hi, the question is a multiple choice question. And since It showed up on my GRE , I can't recollect the answer choices correctly. Although I do remember that the answer choices were ranges and one of the choice was 0.5 >= P >= 0.2. Sorry for incomplete answers. Posted from my mobile device



Intern
Joined: 20 Mar 2018
Posts: 39
GRE 1: Q163 V149 GRE 2: Q168 V162
GPA: 3.5
Followers: 1
Kudos [?]:
40
[0], given: 8

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 21:18
If P(A) = 0.8 and P(B) = 0.7, then Events A and B have to be independent for P(A and B) to be 0. Since they are not (which we assume when not given otherwise) there must be some intersection of these events. So, if P(A) is 0.8 and P(B) is 0.7 then P(A and B)maximum would be 1, since it can't exceed 1.
Last edited by novice07 on 21 Mar 2018, 23:28, edited 1 time in total.



Intern
Joined: 19 Mar 2018
Posts: 14
Followers: 0
Kudos [?]:
9
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 22:23
novice07 wrote: Events A and B have to be independent for P(A and B) to be 0. Don't you mean dependent ? Posted from my mobile device



Intern
Joined: 20 Mar 2018
Posts: 39
GRE 1: Q163 V149 GRE 2: Q168 V162
GPA: 3.5
Followers: 1
Kudos [?]:
40
[0], given: 8

Re: Probability that at least one of the event occurs is ? [#permalink]
21 Mar 2018, 23:33
No, I mean independent. If P(A) = 0.7, P(B) = 0.8 and P(A and B)=0 then they must be independent events, which is not the case in this question. If they had given P(A) = 0.7 and P(B) = 0.8 in the question, they would have given certain value for P(A and B) as well.



Manager
Joined: 27 Sep 2017
Posts: 111
Followers: 1
Kudos [?]:
47
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
22 Mar 2018, 22:45
novice07 wrote: No, I mean independent. If P(A) = 0.7, P(B) = 0.8 and P(A and B)=0 then they must be independent events, which is not the case in this question. If they had given P(A) = 0.7 and P(B) = 0.8 in the question, they would have given certain value for P(A and B) as well. If P(A) = 0.7, P(B) = 0.8 and P(A and B)=0 then they must be independent events? no, they are mutually exclusively events, which intersection would not be allowed.



Manager
Joined: 27 Sep 2017
Posts: 111
Followers: 1
Kudos [?]:
47
[0], given: 4

Re: Probability that at least one of the event occurs is ? [#permalink]
22 Mar 2018, 22:48
novice07 wrote: If P(A) = 0.8 and P(B) = 0.7, then Events A and B have to be independent for P(A and B) to be 0. Since they are not (which we assume when not given otherwise) there must be some intersection of these events. So, if P(A) is 0.8 and P(B) is 0.7 then P(A and B)maximum would be 1, since it can't exceed 1. Your concept is weak. For independent events, events are said not to affect each other, but they can both occur. For example, the tail of a coin can occur with a dice rolling 6. however, mutually exclusively events would not allow both events to occur, for example the tail and the face of a coin can not both occur. Also the it is the maximum of (A or B) NOT (A and B) is 1. you should draw 2 circles which one stands for P(A) 0.8, the other stands for P(B) 0.7. Then the maximum of (A and B) is 0.7 when P(B) 0.7 is included in P(A) 0.8.



Intern
Joined: 20 Mar 2018
Posts: 39
GRE 1: Q163 V149 GRE 2: Q168 V162
GPA: 3.5
Followers: 1
Kudos [?]:
40
[1]
, given: 8

Re: Probability that at least one of the event occurs is ? [#permalink]
23 Mar 2018, 03:47
1
This post received KUDOS
Peter wrote: novice07 wrote: If P(A) = 0.8 and P(B) = 0.7, then Events A and B have to be independent for P(A and B) to be 0. Since they are not (which we assume when not given otherwise) there must be some intersection of these events. So, if P(A) is 0.8 and P(B) is 0.7 then P(A and B)maximum would be 1, since it can't exceed 1. Your concept is weak. For independent events, events are said not to affect each other, but they can both occur. For example, the tail of a coin can occur with a dice rolling 6. however, mutually exclusively events would not allow both events to occur, for example the tail and the face of a coin can not both occur. Also the it is the maximum of (A or B) NOT (A and B) is 1. you should draw 2 circles which one stands for P(A) 0.8, the other stands for P(B) 0.7. Then the maximum of (A and B) is 0.7 when P(B) 0.7 is included in P(A) 0.8. That maximum of P(A or B) NOT (A and B) was an overlook. Sorry for that. I know that independent events can occur together and in that case P(A and B) would be P(A)*P(B). Appreciate for the example. However, I just meant that P(A or B) can't be equal to 1.5 because if two events having probabilities 0.7 and 0.8, it is not possible to have zero intersection.




Re: Probability that at least one of the event occurs is ?
[#permalink]
23 Mar 2018, 03:47





