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							|  |  |  | id: 5900f4391000cf542c50ff4c | 
					
						
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											2021-02-06 04:42:36 +00:00
										 |  |  | title: 'Problem 205: Dice Game' | 
					
						
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										 |  |  | challengeType: 5 | 
					
						
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										 |  |  | forumTopicId: 301846 | 
					
						
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										 |  |  | dashedName: problem-205-dice-game | 
					
						
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										 |  |  | # --description--
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										 |  |  | Peter has nine four-sided (pyramidal) dice, each with faces numbered 1, 2, 3, 4. | 
					
						
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										 |  |  | Colin has six six-sided (cubic) dice, each with faces numbered 1, 2, 3, 4, 5, 6. | 
					
						
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										 |  |  | Peter and Colin roll their dice and compare totals: the highest total wins. The result is a draw if the totals are equal. | 
					
						
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							|  |  |  | What is the probability that Pyramidal Pete beats Cubic Colin? Give your answer rounded to seven decimal places in the form 0.abcdefg | 
					
						
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										 |  |  | # --hints--
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										 |  |  | `euler205()` should return 0.5731441. | 
					
						
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							|  |  |  | ```js | 
					
						
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										 |  |  | assert.strictEqual(euler205(), 0.5731441); | 
					
						
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										 |  |  | ``` | 
					
						
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										 |  |  | # --seed--
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							|  |  |  | ## --seed-contents--
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							|  |  |  | ```js | 
					
						
							|  |  |  | function euler205() { | 
					
						
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							|  |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | euler205(); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | # --solutions--
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										 |  |  | ```js | 
					
						
							|  |  |  | // solution required | 
					
						
							|  |  |  | ``` |