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Refer to the pictograph that describes all of the students who play so

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Sajjad1994
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Refer to the pictograph that describes all of the students who play so [#permalink] New post   08 Nov 2023, 12:03
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Data Insights (DI) Butler 2023-24 [Question #97, Date: Nov-08-2023] [Click here for Details]


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Refer to the pictograph that describes all of the students who play soccer at Douglas High School. Each star represents 5 students from a sample of 75 total students.

Identify the missing information in the following statements using the pictograph.

I. If one student is selected at random from the 75, the chance that the student will be older than 17 or on the Varsity team, or both is .

II. If one student is selected at random from the 75, the chance that the students is both younger than 17 and on the Varsity Soccer Team is .
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Dropdown 1: 2 out of 3 Dropdown 2: 1 out of 5
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Re: Refer to the pictograph that describes all of the students who play so [#permalink] New post   08 Nov 2023, 22:49
1. 2 out of 3
2. 1 out of 5
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Re: Refer to the pictograph that describes all of the students who play so [#permalink] New post   10 Nov 2023, 04:11
Please explain how you get the 1st part of the question
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Re: Refer to the pictograph that describes all of the students who play so [#permalink] New post   10 Nov 2023, 09:44
Suppose, 1 star = 5 students (Total 15 stars = 75 students)



I. If one student is selected at random from the 75, the chance that the student will be older than 17 or on the Varsity team, or both is

the student will be older than 17 or on the Varsity team, or both = (7 + 3) x 5
= 50

Hence, p(E) = 50 out of 75
= 2 out of 3


II. If one student is selected at random from the 75, the chance that the students is both younger than 17 and on the Varsity Soccer Team is


the students is both younger than 17 and on the Varsity Soccer Team = (3) x 5
= 15


Hence, p(E) = 15 out of 75
= 1 out of 5
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Refer to the pictograph that describes all of the students who play so [#permalink] New post   13 Nov 2023, 10:09
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I. If one student is selected at random from the 75, the chance that the student will be older than 17 or on the Varsity team, or both is _________

To find the probability of choosing a student that is either older than 17, or on the Varsity team, or both can be written mathematically as follows.

P(> 17 n VT) + P(< 17 n VT)
=35 + 15
=50

To find the ratio divide the number found above by the total number of students.

\(\frac{50}{75}=\frac{2}{3}\)

In words this is 2 out of 3.

II. If one student is selected at random from the 75, the chance that the students is both younger than 17 and on the Varsity Soccer Team is_________

In mathematical terms this is written as the following,
P(VTn < 17)
=15

To find the ratio divide the number found above by the total number of students.

\(\frac{15}{75}=\frac{1}{5}\)

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Re: Refer to the pictograph that describes all of the students who play so [#permalink] New post   25 Jan 2024, 04:27
For quest 1, I understood that we took 7 = older than 7 +(or) 3 = V team, But why didnt we add accounted for BOTH part of the question. I know there is some gap in my understanding, could anybody explain
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Re: Refer to the pictograph that describes all of the students who play so [#permalink] New post   26 Jan 2024, 09:01
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033 wrote:
For quest 1, I understood that we took 7 = older than 7 +(or) 3 = V team, But why didnt we add accounted for BOTH part of the question. I know there is some gap in my understanding, could anybody explain



There are 15 stars, 7 are >17years and 3 are on varsity team but are <17 years.
Both are already accounted for in the 7 stars.

Actually, even if we had not mentioned, it would have given the answer.
The question is basically 'everyone>17(this will include varsity players and non-varsity player)' + 'varsity players<17'.
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Re: Refer to the pictograph that describes all of the students who play so [#permalink]
26 Jan 2024, 09:01
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