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aniket16c
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12 Mar 2019, 07:58
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
50% (01:50) correct
50%
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wrong
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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.
(A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient
Detailed Explanations appreciated.
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.
(A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient
Detailed Explanations appreciated.
Archived Topic
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aniket16c
Current Student
Joined: 20 Oct 2018
Last visit: 05 Feb 2024
Posts: 180
Own Kudos:
Given Kudos: 57
Location: India
Schools: Ross '24 (D) Darden '24 (A)
GMAT 1: 690 Q49 V34
GMAT 2: 740 Q50 V40
GPA: 4
12 Mar 2019, 08:01
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In the question it is given that: "each batter can either hit a home run, hit a single, or strikeout".
My doubt is if any if the two are given, shouldn't the probability of other events be obtained by subtracting the addition of other two from 1?
If that is the case, then we will have probability of all the three events and we will be able to determine the answer using either of the options?
My doubt is if any if the two are given, shouldn't the probability of other events be obtained by subtracting the addition of other two from 1?
If that is the case, then we will have probability of all the three events and we will be able to determine the answer using either of the options?
12 Mar 2019, 08:04
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aniket16c
Discussed here: in-the-game-of-funball-each-batter-can-either-hit-a-home-run-hit-a-248837.html?fl=similar Please post your doubts there.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
