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02 Jan 2024, 11:12
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Dropdown 1: less than
Dropdown 2: 2 out of 30
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
62% (02:50) correct
38%
(02:57)
wrong
based on 701
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The graph shows the total payroll and number of regular season wins for the 30 Major League Baseball teams in 2010.
Based on the given information, fill in the blanks in each of the following statements.
The likelihood that a team with a payroll greater than $125 million won more than 80 games was the likelihood that a team with a payroll less than $75 million won more than 70 games.
The probability that if a team is selected at random, it will be one of the top five teams in terms of both payroll and number of wins is .
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Official Answer
Dropdown 1: less than
Dropdown 2: 2 out of 30
15 Jan 2024, 17:50
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1. The likelihood that a team with a payroll greater than $125 million won more than 80 games was __________ the likelihood that a team with a payroll less than $75 million won more than 70 games.
Probability of a team with a payroll greater than $125 million won more than 80 games = 3/5 = 33/55
Probability that a team with a payroll less than $75 million won more than 70 games = 7/11 = 35/55
So, 33/55 < 35/55
LESS THAN is the correct option
2. The probability that if a team is selected at random, it will be one of the top five teams in terms of both payroll and number of wins is __________
Only TWO teams in the top right corner of the Graph are amongst the top teams in terms of both payroll and number of wins.
So, 2 out of 30 is the correct answer
2 OUT OF 30 is the correct option
Probability of a team with a payroll greater than $125 million won more than 80 games = 3/5 = 33/55
Probability that a team with a payroll less than $75 million won more than 70 games = 7/11 = 35/55
So, 33/55 < 35/55
LESS THAN is the correct option
2. The probability that if a team is selected at random, it will be one of the top five teams in terms of both payroll and number of wins is __________
Only TWO teams in the top right corner of the Graph are amongst the top teams in terms of both payroll and number of wins.
So, 2 out of 30 is the correct answer
2 OUT OF 30 is the correct option
Updated on: 30 Oct 2025, 09:31
Originally posted by Sajjad1994 on 27 Feb 2024, 08:56.
Last edited by Sajjad1994 on 30 Oct 2025, 09:31, edited 1 time in total.
Last edited by Sajjad1994 on 30 Oct 2025, 09:31, edited 1 time in total.
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Official Explanation
There were five teams that had payrolls greater than $125 million. Of those, three won more than 80 games. Thus, the likelihood that a team with a payroll greater than $125 million won more than 80 games was 0.6. Then there were 11 teams with a payroll less than $75 million, and of those, 7 won more than 70 games. Thus, the likelihood that a team with a payroll less than $75 million won more than 70 games was 0.64 (7 out of 11), which is greater than the likelihood that a team with a payroll greater than $125 million won more than 80 games.
The correct answer is (C).
Only two of the 30 teams were in the top five in terms of both payroll and number of wins: the one represented by the top-most diamond, and the one represented by the diamond farthest to the right. Thus, the probability that, if a team is selected at random, it will be one of the top five teams in terms of both payroll and number of wins is 2 out of 30.
The correct answer is (A).
There were five teams that had payrolls greater than $125 million. Of those, three won more than 80 games. Thus, the likelihood that a team with a payroll greater than $125 million won more than 80 games was 0.6. Then there were 11 teams with a payroll less than $75 million, and of those, 7 won more than 70 games. Thus, the likelihood that a team with a payroll less than $75 million won more than 70 games was 0.64 (7 out of 11), which is greater than the likelihood that a team with a payroll greater than $125 million won more than 80 games.
The correct answer is (C).
Only two of the 30 teams were in the top five in terms of both payroll and number of wins: the one represented by the top-most diamond, and the one represented by the diamond farthest to the right. Thus, the probability that, if a team is selected at random, it will be one of the top five teams in terms of both payroll and number of wins is 2 out of 30.
The correct answer is (A).
