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Suppose there is only one ticketing counter at cinema A. The number of customers buying tickets at this counter per minute can be modeled by

Suppose there is only one ticketing counter at cinema A. The number of customers buying tickets at this counter per minute can be modeled by a Poisson distribution with a mean of 2.8. The probability distribution of the number of tickets bought by a customer at this ticketing counter is shown in the following table:

Number of tickets bought 1 2 3 4 5

Probability 0.3 0.6 0.04 0.03 0.03

Q. Given that fewer than 3 customers buy tickets at the ticketing counter in a certain minute, find the probability that only 1 ticket is bought in total.

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