PrepTest 36, Section 3, Question 21

Difficulty: 
Passage
Game

Sandy:  I play the Bigbucks lottery—that's the one where you pick five numbers and all the players who have picked the five numbers drawn at the end of the week share the money pot.  But it's best to play only after there have been a few weeks with no winners, because the money pot increases each week that there is no winner.

Sandy:  I play the Bigbucks lottery—that's the one where you pick five numbers and all the players who have picked the five numbers drawn at the end of the week share the money pot.  But it's best to play only after there have been a few weeks with no winners, because the money pot increases each week that there is no winner.

Alex: No, you're more likely to win the lottery when the money pot is small, because that's when the fewest other people are playing.

Sandy:  I play the Bigbucks lottery—that's the one where you pick five numbers and all the players who have picked the five numbers drawn at the end of the week share the money pot.  But it's best to play only after there have been a few weeks with no winners, because the money pot increases each week that there is no winner.

Alex: No, you're more likely to win the lottery when the money pot is small, because that's when the fewest other people are playing.

Sandy:  I play the Bigbucks lottery—that's the one where you pick five numbers and all the players who have picked the five numbers drawn at the end of the week share the money pot.  But it's best to play only after there have been a few weeks with no winners, because the money pot increases each week that there is no winner.

Question
21

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

Sandy holds that the chances of anyone's winning are unaffected by the number of times that person plays.

Alex holds that the chances of Sandy's winning are affected by the number of other people playing.

Sandy holds that the chances of anyone's winning are unaffected by the size of the pot.

Alex holds that the chances of Sandy's winning in a given week are unaffected by whether anyone has won the week before.

Sandy holds that the chances of there being a winner go up if no one has won the lottery for quite a while.

B
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Explanations

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