Your chances to match the first three digits depend on a number system used. If we're considering the winning number to be in traditional base-10, and your guessed digits must be in the same order as the winning number's, then your chance of correctly matching the aforementioned digits correctly would be approximately 0,001% due to an existence of only one winning permutation.

If the order of digits being considered is irrelevant and if we assume that each winning digit is unique, then the chances would become approximately 0,006%

In summary, your chances of matching the first three digits of a winning number would lie somewhere between 0,001% and 0,006%

I have arrived at this result after dividing the number of winning combinations by the total number of possible combinations. 

Please feel free to ask if you'd like me to expand on the proof or have any further questions.
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