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The graph shows the total payroll and number of regular season wins fo

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Sajjad1994
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The graph shows the total payroll and number of regular season wins fo [#permalink] New post   02 Jan 2024, 11:12
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Data Insights (DI) Butler 2023-24 [Question #181, Date: Jan-02-2024] [Click here for Details]




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.

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.

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 .

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Dropdown 1: less than Dropdown 2: 2 out of 30
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Re: The graph shows the total payroll and number of regular season wins fo [#permalink] New post   10 Jan 2024, 10:28
1. Less than: 3/total number < ~7/total number
2. 2/30 - There are two teams that are on the higher end in both ways

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The graph shows the total payroll and number of regular season wins fo [#permalink] New post   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
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Re: The graph shows the total payroll and number of regular season wins fo [#permalink] New post   26 Feb 2024, 22:24
Can someone explain this again?
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Re: The graph shows the total payroll and number of regular season wins fo [#permalink] New post   27 Feb 2024, 08:56
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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).
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Re: The graph shows the total payroll and number of regular season wins fo [#permalink] New post   10 Mar 2024, 03:56
Why is the third diamond with wins close to 100 and payroll between 125-150 not considered? Why isn't the answer 3 out of 30
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Re: The graph shows the total payroll and number of regular season wins fo [#permalink] New post   12 Mar 2024, 08:09
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Prakruti_Patil wrote:
Why is the third diamond with wins close to 100 and payroll between 125-150 not considered? Why isn't the answer 3 out of 30

The diamond you are mentioning is considered. See the screenshot below.



Read the OE here.
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Re: The graph shows the total payroll and number of regular season wins fo [#permalink] New post   18 Mar 2024, 00:31
Sajjad1994 wrote:
Prakruti_Patil wrote:
Why is the third diamond with wins close to 100 and payroll between 125-150 not considered? Why isn't the answer 3 out of 30

The diamond you are mentioning is considered. See the screenshot below.



Read the OE here.

­I get your point but the third question dosent say that we only need to select the teams with highest wins or payroll.
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Re: The graph shows the total payroll and number of regular season wins fo [#permalink] New post   18 Mar 2024, 10:14
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KushagraKirtiman wrote:
Sajjad1994 wrote:
Prakruti_Patil wrote:
Why is the third diamond with wins close to 100 and payroll between 125-150 not considered? Why isn't the answer 3 out of 30

The diamond you are mentioning is considered. See the screenshot below.



Read the OE here.

­I get your point but the third question dosent say that we only need to select the teams with highest wins or payroll.

­Yes! The upper dot has the highest payroll (millions of $) while the second dot on the most right has the highest number of regular wins.
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The graph shows the total payroll and number of regular season wins fo [#permalink] New post   29 Mar 2024, 13:02
­1. The likelihood that a team with a payroll greater than $125 million won more than 80 games was [less than] the likelihood that a team with a payroll less than $75 million won more than 70 games.

Number of teams with a payroll greater than $125 million won more than 80 games = 3 
Number of teams with a payroll less than $75 million won more than 70 games = a lot more than 3 



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 [2/30].

Top 5 in terms of payroll
Top 5 in terms of wins

=> There are only 2 teams in top 5 in terms of both
Probability = 2/30 
­
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The graph shows the total payroll and number of regular season wins fo [#permalink]
29 Mar 2024, 13:02
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