# Talk:Lisa vs. Malibu Stacy

I came here to check on what the reference was in this episode about Lisa throwing red paint on those Keebler people - anyone want to stick something in about it?
--Mortice (talk) 19:24, 14 March 2011 (UTC)

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Hello fellow Wikipedians,
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The article contained the following line:

Each doll was programmed to say four out of 270 possible phrases, so that no two dolls were likely to be the same.
It links to the combination article. While true that the number of combinations of dolls is 270 choose 4 = 216,546,345, the conclusion is false. With a large number produced, it is actually almost certain that at least two have the same 4 phrases. According to a source from the doll's article, roughly 350,000 dolls were produced. Now, we compute the probability that each one was unique. To do this, we just multiply by the fraction of remaining dolls that are unique for each doll produced. For example, with 10 varieties and 4 dolls produced, the probability of all being different would be 10/10 * 9/10 * 8/10 * 7/10 = 0.504, so about 50-50.

  
    
      
        
          ∏
          
            n
            =
            0
          
          
            350000
          
        
        
          
            
              216546345
              −
              n
            
            216546345
          
        
        ≈
        1.24019
        ×
        
          10
          
            −
            123
          
        
      
    
    {\displaystyle \prod _{n=0}^{350000}{\frac {216546345-n}{216546345}}\approx 1.24019\times 10^{-123}}
  

The computation was done with Mathematica. Therefore, it is practically impossible for every doll to be different, with as few as only 75,000 dolls produced. Although a bit counterintuitive, it's ironic that a math mistake was made about a doll that controversially said "Math class is tough." I removed the incorrect wording from the article. N828335 (talk) 04:02, 11 July 2022 (UTC)

The following Wikimedia Commons file used on this page or its Wikidata item has been nominated for speedy deletion:

Malibu Stacy doll.png
You can see the reason for deletion at the file description page linked above. —Community Tech bot (talk) 20:51, 9 May 2025 (UTC)