Gambler: The odds of rolling a three with a fair die is one

Gambler: The odds of rolling a three with a fair die is one out of six. If I roll two dice, I double my opportunities to roll a three, because on a roll of two dice, the chances of rolling at least one three are two out of six, and if I roll three dice the odds increase to three of six, and so on. My odds keep increasing until I roll six dice, and then I’ll definitely have my three.

Mathematician: Your conclusion cannot be valid, since it would mean that it is impossible to roll six dice without rolling a three.

Which of the following argumentative strategies is used by the mathematician in response to the gambler?

undermining the gambler’s credibility by questioning his understanding of mathematics

arguing that the theory derived by the gambler would lead to an absurdly false conclusion

calling the validity of the gambler’s initial premise into question

stating a general principle that contradicts the gambler’s conclusion

pointing out, at what juncture, the gambler went wrong in his calculation