45 lines
		
	
	
		
			835 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			45 lines
		
	
	
		
			835 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4391000cf542c50ff4c | ||
|  | title: 'Problem 205: Dice Game' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 301846 | ||
|  | dashedName: problem-205-dice-game | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | Peter has nine four-sided (pyramidal) dice, each with faces numbered 1, 2, 3, 4. | ||
|  | 
 | ||
|  | Colin has six six-sided (cubic) dice, each with faces numbered 1, 2, 3, 4, 5, 6. | ||
|  | 
 | ||
|  | Peter and Colin roll their dice and compare totals: the highest total wins. The result is a draw if the totals are equal. | ||
|  | 
 | ||
|  | What is the probability that Pyramidal Pete beats Cubic Colin? Give your answer rounded to seven decimal places in the form 0.abcdefg | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler205()` should return 0.5731441. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler205(), 0.5731441); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler205() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler205(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |