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No flaw: 0.75
Flawed jacket: 0.05
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Difficulty:
35%
(medium)
Question Stats:
72% (01:55) correct
28%
(02:01)
wrong
based on 493
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Data Insights (DI) Butler 2023-24 [Question #154, Date: Dec-13-2023] [Click here for Details]
During a clearance sale, a men’s formalwear store is selling its remaining suits at a discount. Ten percent of the suits have a flawed jacket, 20% of the suits have flawed trousers, and 5% of the suits have both flawed jacket and trousers.
A man buys a suit at random. In the table, indicate what the probability is that the suit will have no flaw, and what the probability is that the suit will have a flawed jacket only.
| No flaw | Flawed jacket | |
| 0.05 | ||
| 0.1 | ||
| 0.2 | ||
| 0.25 | ||
| 0.5 | ||
| 0.75 |
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Official Answer
No flaw: 0.75
Flawed jacket: 0.05
04 Apr 2024, 08:45
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Quote:
Following is known
1) Flawed trouser = 20%
2) Flawed Jacket = 10%
3) Both Flawed = 5%
Thus, we can say that suits with only flawed trouser = (flawed trouser) - Both = 20-5 = 15%
Also, we can say that suits with only flawed Jacket= (flawed Jacket) - Both = 10-5 = 5%
Total Flawed suits as % of total = Only T + Only F + B = 15+5+5 = 25%
So, non-flawed suit = 100-25 or 75%
Solution:
No flaw = 75% or 0.75
Only J = 5% or 0.05
Deepa444
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