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What is the full theoretical size of the search space for a pin tumbler lock that has 30 possible key blanks and 8 pin search with 12 different distinct heights?
The full theoretical size of the search space for a pin tumbler lock can be calculated by considering the number of combinations of key blanks, the number of pins, and the possible heights for each pin. For a lock with 30 key blanks, 8 pins, and 12 distinct heights, the total number of combinations is given by (30 \times 12^8). This results in a search space of approximately 30 times 429981696, which equals about 12,899,450,880 possible combinations.
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When would it be appropriate to use theoretical probability?
When you know for sure that the data you are trying to describe has a well-known theoretical probability distribution. For example, you 'know' from past experience that the heights of a certain age group in a school is normally distributed.
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