43 lines
		
	
	
		
			842 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			43 lines
		
	
	
		
			842 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f4a01000cf542c50ffb2
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| title: 'Problem 307: Chip Defects'
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| challengeType: 5
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| forumTopicId: 301961
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| dashedName: problem-307-chip-defects
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| ---
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| 
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| # --description--
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| 
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| k defects are randomly distributed amongst n integrated-circuit chips produced by a factory (any number of defects may be found on a chip and each defect is independent of the other defects).
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| 
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| Let p(k,n) represent the probability that there is a chip with at least 3 defects. For instance p(3,7) ≈ 0.0204081633.
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| 
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| Find p(20 000, 1 000 000) and give your answer rounded to 10 decimal places in the form 0.abcdefghij
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| 
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| # --hints--
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| 
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| `euler307()` should return 0.7311720251.
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| 
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| ```js
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| assert.strictEqual(euler307(), 0.7311720251);
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| ```
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| 
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| # --seed--
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| 
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| ## --seed-contents--
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| 
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| ```js
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| function euler307() {
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| 
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|   return true;
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| }
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| 
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| euler307();
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| ```
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| 
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| # --solutions--
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| 
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| ```js
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| // solution required
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| ```
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