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Escherichia Coli or Ecoli is a bacterium very common and in huge amounts in feces/stool (up to 30% of the feces is bacteria by the way). So if Ecoli is found somewhere there must have been some connection with feces. This can unfortunately happen quite easily. E.g. if you go to the toilet and do some stuff, then the flushing alone stirs up considerable amounts of those bacteria which land on your clothes, your skin etc. Needless to say that also the toilet door handles etc are full of them. No wonder that a manual processing of ice can transfer traces to the ice. Frequent hand washing and changing of clothes would be the only remedy. Of course better to avoid ice at all.