Can a lottery quick-pick number be more random than one I choose?

How to use this answer

This answer is based on the mathematical principle or published rule identified in the source below. If the question involves a live betting market, confirm its settlement definition before applying it to a specific bet.

Use the published game matrix and prize rules for the exact lottery or scratchcard. Identical tickets, rollover jackpots and claimed win patterns should be assessed using probabilities rather than intuition.