The probability that the next person will be assigned an orchestra seats is 2/5.
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Available Orchestra seats = 8
      Balcony seats = 12
   Total available seats = 12 + 8 = 20
 Probability = Favorable Outcome / Total Outcome
 Probability of getting orchestra ticket = 8/20
                                 = 2/5
Thus, the probability that the next person will be assigned an orchestra seats is 2/5.
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