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In the game of Funball, each batter can either hit a home run, hit a single, or strikeout, and the likelihood of each outcome is completely determined by the opposing pitcher. A Funball batter scores a point for their team by advancing sequentially through each of four "bases", according to the following rules:
Home run: The batter and any players already on a base advance through all four bases.
Single: The batter advances to first base, and any players already on a base advance one base each.
Strikeout: No one advances any bases, and the batter loses his/her turn.
If the batting team has a runner on first base, which pitcher (Roger or Greg) is more likely to allow a point before recording a strikeout?
1) Greg is twice as likely as Roger to allow a single, and four times as likely as Roger to record a strikeout.
2) Greg is twice as likely as Roger to allow a single, and one fourth as likely as Roger to allow a home run.
The OA is A
Source: Manhattan Prep
Home run: The batter and any players already on a base advance through all four bases.
Single: The batter advances to first base, and any players already on a base advance one base each.
Strikeout: No one advances any bases, and the batter loses his/her turn.
If the batting team has a runner on first base, which pitcher (Roger or Greg) is more likely to allow a point before recording a strikeout?
1) Greg is twice as likely as Roger to allow a single, and four times as likely as Roger to record a strikeout.
2) Greg is twice as likely as Roger to allow a single, and one fourth as likely as Roger to allow a home run.
The OA is A
Source: Manhattan Prep
