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The probability is 1/6 and can be solved a follows:

  1. There are 3! or 6 ways to line up the people: OMY, OYM, MOY, MYO, YOM, YMO.
  2. There is only 1 way to line them up as is described: OMY.
  3. Probability is number of ways it can occur divided by the total number of outcomes.
  4. Therefore the probability is 1/6 or .1667 or 16.67%.
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Q: Exactly three people from a line at the grocery store what is the probability that they will line up in descending order of age oldest middle and youngest?
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