Auto KeysBeginning in 1990, General Motors began to use a theft deterrent key on some of its cars.

Auto Keys
Beginning in 1990, General Motors began to use a theft deterrent key on some of its cars. The key has six parts, with three patterns for each part, plus an electronic chip containing a code from 1 to 15. What is the probability that one of these keys selected at random will start a GM car requiring a key of this type?

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