In the game of Funball, each batter can either hit a home

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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

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by deloitte247 » Fri Jan 18, 2019 7:12 am

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Statement 1
Greg is twice as likely as Rodger to allow as single and 4 times as likely as Rodger to record a strike out
Let
Chance of a Strike = S
Chance of a single = R
$$Greg's\ probability=\frac{4}{S}\cdot\frac{2}{R}=\frac{8}{SR}$$
Therefore Greg's chances are S times higher than that of Roger. Hence Greg is more likely to to allow a point before recording a strike out.
Hence Statement 1 is SUFFICIENT.

Statement 2
Greg is twice as likely as as Rodger to allow a single and one- fourth as likely as Roger to allow a home run.
This does not provide us with any data on strike out just the home runs(which is not in the question).
Statement 2 is INSUFFICIENT.
Statement 1 alone is SUFFICIENT.
$$answer\ is\ Option\ A$$