41 lines
		
	
	
		
			946 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			41 lines
		
	
	
		
			946 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4f21000cf542c510004 | ||
|  | title: 'Problem 389: Platonic Dice' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 302053 | ||
|  | dashedName: problem-389-platonic-dice | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | An unbiased single 4-sided die is thrown and its value, T, is noted.T unbiased 6-sided dice are thrown and their scores are added together. The sum, C, is noted.C unbiased 8-sided dice are thrown and their scores are added together. The sum, O, is noted.O unbiased 12-sided dice are thrown and their scores are added together. The sum, D, is noted.D unbiased 20-sided dice are thrown and their scores are added together. The sum, I, is noted. | ||
|  | 
 | ||
|  | Find the variance of I, and give your answer rounded to 4 decimal places. | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler389()` should return 2406376.3623. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler389(), 2406376.3623); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler389() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler389(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |