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Rashika is beginning a new job in human resources and expects to be as
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28 Feb 2024, 23:16
28 Feb 2024, 23:16
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Difficulty:
75%
(hard)
Question Stats:
48% (01:58) correct
52%
(02:15)
wrong
based on 288
sessions
Rashika is beginning a new job in human resources and expects to be assigned to several of the many human resources work groups. She has been told that there is a probability of 
that she will be assigned to the Recruitment Work Group and that there is a probability of 
that she will be assigned to the New Technology Work Group. She has no other information about the probabilities of the various possible assignments, or whether her assignment to one of these groups affects her chances of assignment to the other.
Select for Greatest probability for both assignments the greatest probability, compatible with the given probabilities, that Rashika will be assigned to both the Recruitment Work Group and the Technology Work Group. And select for Least probability for both assignments the least probability, compatible with the given probabilities, that Rashika will be assigned to both of these groups. Make only two selections, one in each column.
All Data Insight question: TPA [ Official Guide DI Review 2023-24]
Rashika is beginning a new job in human resources and expects to be assigned to several of the many human resources work groups. She has been told that there is a probability of
that she will be assigned to the Recruitment Work Group and that there is a probability of that she will be assigned to the New Technology Work Group. She has no other information about the probabilities of the various possible assignments, or whether her assignment to one of these groups affects her chances of assignment to the other.Select for Greatest probability for both assignments the greatest probability, compatible with the given probabilities, that Rashika will be assigned to both the Recruitment Work Group and the Technology Work Group. And select for Least probability for both assignments the least probability, compatible with the given probabilities, that Rashika will be assigned to both of these groups. Make only two selections, one in each column.
| Greatest probability for both assignments | Least probability for both assignments | |
| 0 | ||
| 1/4 | ||
| 1/2 | ||
| 3/4 | ||
| 1 |
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Official Answer
Greatest probability for both assignments: 1/2
Least probability for both assignments: 1/4
Rashika is beginning a new job in human resources and expects to be as
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28 Feb 2024, 23:17
28 Feb 2024, 23:17
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Expert Reply
Similar question seen often now.
P of being assigned to RWG: 1/2
P of being assigned to NTWG: 3/4
Greatest P: It will occur when there is a complete overlap.
RWG: <...........>............ 1/2
NTWG:<..................>..... 3/4
overlap:<..........>............, so 1/2
Least P: It will occur when there is a minimum overlap.
RWG: <...........>............ 1/2
NTWG:........<................>3/4
overlap:.......<...>............., so 1/4. You could also get that from (1/2)+(3/4)-1=1/4
ckavya2691, hope it helps
P of being assigned to RWG: 1/2
P of being assigned to NTWG: 3/4
Greatest P: It will occur when there is a complete overlap.
RWG: <...........>............ 1/2
NTWG:<..................>..... 3/4
overlap:<..........>............, so 1/2
Least P: It will occur when there is a minimum overlap.
RWG: <...........>............ 1/2
NTWG:........<................>3/4
overlap:.......<...>............., so 1/4. You could also get that from (1/2)+(3/4)-1=1/4
ckavya2691, hope it helps
Re: Rashika is beginning a new job in human resources and expects to be as
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21 Mar 2024, 02:25
21 Mar 2024, 02:25
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Expert Reply
A brilliant question indeed that is based on probability and that could very well have been a PS quant question. So, it is a quant PS question in the garb of a TPA quant question. Now there is yet another layer of complexity in this question. It requires visualization in the form of Venn diagram and requires the student to draw inferences about how to maximize the “both” region and how to minimize the “both region” of the Venn diagram.
So, if you faltered in this question, then this question presents unique opportunity to build your skill set not only in probability but also in Venn diagrams.
Watch this video solution and understand which step(s) you faltered on:
Each mistake gives us the opportunity to improve. It is upon us if we take that opportunity or if we let it go! If you have taken that opportunity, let us know which step you faltered at. And let us know if you have any questions.
So, if you faltered in this question, then this question presents unique opportunity to build your skill set not only in probability but also in Venn diagrams.
Watch this video solution and understand which step(s) you faltered on:
- Did not understand the probabilities mentioned in the data set.
- Was not able to visualize the scenario in terms of Venn Diagram.
- Was not able to infer how to maximize the “both” region.
- Was not able to infer how to minimize the “both” region.
Each mistake gives us the opportunity to improve. It is upon us if we take that opportunity or if we let it go! If you have taken that opportunity, let us know which step you faltered at. And let us know if you have any questions.
