The probability that all your first clicks happen to be lucky quickly gets very small (e.g., after 5 times, the probability that you got lucky on all your first clicks drops to (1 - 0.927) 5 ≈ 0.000002). The Windows 7 version of Minesweeper allows a 24x30 board with 668 mines (92.7% of the board). Here's a test that I do to gauge the quality of other Minesweeper implementations: Run Minesweeper, create a custom game, and set the board size and number of mines to their maximum allowed values. It is pretty easy to convince yourself that it is impossible to lose on the first click. No, it is (normally) not possible to hit a mine on the first click in Microsoft's implementation of Minesweeper.
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