Had a go of this today with my wife, on the Shyguy Train board. Things got off to a bad start for me, as for the first four turns I couldn’t roll higher than a 3, and by turn 8 I was still starless while everyone else had two or three.
However, I somehow managed to turn it around, and on the final turn had three stars, beating everyone else. To further prove my superiority, I then won all three bonus stars, and the stats showed that regardless of which bonus stars had been randomly chosen, I’d have won the game anyway – even if I hadn’t picked any stars up on the board. Amazing!