Tony: I play the Big Bucks lottery. Every week, five winning numbers are drawn,and all the players who have picked those numbers share the jackpot. It's best to play only after there have been a few weeks with no winners, because the jackpot increases each week that there is no winner.

Baggs: No, you're more likely to win the lottery when the jackpot is small,because that's when the fewest people are playing.

Which one of the following most accurately describes a mistake in the reasoning of one of the two players?

(A) Tony holds that the chances of winning are unaffected by the number of times a person plays.
(B) Baggs holds that the chances of Tony's winning are affected by the number of other people playing.
(C) Tony holds that the chances of anyone's winning are unaffected by the size of the jackpot.
(D) Baggs holds that the chances of Tony's winning in a given week are unaffected by whether anyone has won the week before.
(E) Tony holds that the chances of there being a winner go up if no one has won the lottery for quite a while.

OA B

Source: Veritas Prep