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05 Jul 2017, 09:39
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Hi,
First post so here goes. If an exam has three questions and they can be from a range of six subjects but not chosen twice, what is the chance that any one of those six subjects will be included in the three exam questions? So if the subjects are A,B,C,D,E, and F and the questions 1,2, and 3, Q1 could be any one of the six, Q2 any one of the remaining five subjects and so on. I've tried various methods giving a range of values so am not sure of any of them.
Cheers
Gus
First post so here goes. If an exam has three questions and they can be from a range of six subjects but not chosen twice, what is the chance that any one of those six subjects will be included in the three exam questions? So if the subjects are A,B,C,D,E, and F and the questions 1,2, and 3, Q1 could be any one of the six, Q2 any one of the remaining five subjects and so on. I've tried various methods giving a range of values so am not sure of any of them.
Cheers
Gus
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Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
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05 Jul 2017, 17:50
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Hi Gus,
If this is an actual GMAT practice question, then you should include the 5 answer choices. You will also likely receive more of a response if you post it in the appropriate sub-forum. For example, the Problem Solving forum can be found here:
https://gmatclub.com/forum/gmat-problem-solving-ps-140/
To answer this question, arguably the easiest way to do the work is to calculate the probability that a particular subject WON'T appear among the three questions. You can then take that probability and subtract it from 1 to learn the probability that it WILL appear. Since the prompt tells us that a subject cannot appear more than once, we can set up the following calculation:
(not in Q1)(not in Q2)(not in Q3) =
(5/6)(4/5)(3/4) =
60/120 =
1/2
So there's a 50% chance that the subject WON'T appear and there a 100 - 50 = 50% chance that it WILL appear.
GMAT assassins aren't born, they're made,
Rich
If this is an actual GMAT practice question, then you should include the 5 answer choices. You will also likely receive more of a response if you post it in the appropriate sub-forum. For example, the Problem Solving forum can be found here:
https://gmatclub.com/forum/gmat-problem-solving-ps-140/
To answer this question, arguably the easiest way to do the work is to calculate the probability that a particular subject WON'T appear among the three questions. You can then take that probability and subtract it from 1 to learn the probability that it WILL appear. Since the prompt tells us that a subject cannot appear more than once, we can set up the following calculation:
(not in Q1)(not in Q2)(not in Q3) =
(5/6)(4/5)(3/4) =
60/120 =
1/2
So there's a 50% chance that the subject WON'T appear and there a 100 - 50 = 50% chance that it WILL appear.
GMAT assassins aren't born, they're made,
Rich
06 Jul 2017, 04:36
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GusTracy
Hi,
First post so here goes. If an exam has three questions and they can be from a range of six subjects but not chosen twice, what is the chance that any one of those six subjects will be included in the three exam questions? So if the subjects are A,B,C,D,E, and F and the questions 1,2, and 3, Q1 could be any one of the six, Q2 any one of the remaining five subjects and so on. I've tried various methods giving a range of values so am not sure of any of them.
Cheers
Gus
First post so here goes. If an exam has three questions and they can be from a range of six subjects but not chosen twice, what is the chance that any one of those six subjects will be included in the three exam questions? So if the subjects are A,B,C,D,E, and F and the questions 1,2, and 3, Q1 could be any one of the six, Q2 any one of the remaining five subjects and so on. I've tried various methods giving a range of values so am not sure of any of them.
Cheers
Gus
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Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
