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KCC's Quizzes: Taking the right shoes in the dark and in a hurry



		

			

									
					    KCC
					
							

			
				
									
											
			
			
				
  •  Analog Employees  

			
			
			    	
			                    
                
				                on Feb 6, 2023 
				
			
			
		


				
		

		    		    
		    
		    	
			
A pile of shoes consists of 4 pairs of black and 4 pairs of brown shoes mixed together in a box.


All the shoes belong to one same person.


What is the probability to randomly select a pair of shoes that are the same color, one left and one right ?


 


Good luck and Try to be among the 4 first ones!

										


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[edited by: emassa at 3:47 PM (GMT -5) on 6 Feb 2023]
				

						
			        
		


				
						
        

    
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    •  Analog Employees  
    
            
						
                            
            
            				
            
                on Feb 6, 2023 10:29 AM
            
            
					
    
	
    

		
		
    
					
    The answer is 4/15. 
    

    Suppose you select a Black-Left shoe (P= 4/16=1/4), the probability to select a Black-Right shoe after that is 4/15. The joint probability is 1/15. You have same probability for all the possible "good" combinations: Black-Left + Black-Right, Black-Right+Black-Left, Brown-Right+Brown-Left, Brown-Left+Brown-Right. So the probability we're looking for is 4/15. 
    
			
    

		
			
	      

		
		
	
    
	
    
		
    
			
		
    
	
    
	
    
		
						
				
				
						
				
				
		
		
    
			
		
    
	
    

    

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    •  Analog Employees  
    
            
						
                            
            
            				
            
                on Feb 6, 2023 12:27 PM
            
            
												
						in reply to gpiarino
					
									
    
	
    

		
		
    
					
    Thanks Gaetano for your prompt reply! I give my comment to you via email.
    
			
    

		
			
	      

		
		
	
    
	
    
		
    
			
		
    
	
    
	
    
		
						
				
				
						
				
				
		
		
    
			
		
    
	
    

    

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