Suppose you have just received a shipment of 16 modems. although you don't know this, 4 of the modems are defective. to determine whether you will accept the shipment, you randomly select 5 modems and test them. if all 5 modems work, you accept the shipment. otherwise, the shipment is rejected. what is the probability of accepting the shipment?

The probability of the event is defined as the ratio of the number of cases favourable to an occurrence, and the further calculation can be defined as follows:

4 of the 16 modems are defective, while the remaining 12 are not.

P(accepting shipment) = P (all 5 modems work)

methods could be used to choose 5 non-defective modems from a pool of 12 non-defective modems.

The total number of methods to choose 5 modems from a pool of 16 modems is .

P(accepting shipment) = P(all 5 modems work):

Therefore, the final answer is "18.131%".

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