Statistics matter. If they didn't, Terminators wouldn't cost more than Tac squads.
Also, the plural of "anecdote" is not "data". I've rolled three ones on 5 dice. Does that mean I've got a 60% chance of rolling a one?
e: The other two were twos. OMG IT IS IMPOSSIBLE TO ROLL A 3+
You're still rolling a 1, 1/6 of the time. That's not trivial.