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

Question

1.jpg Refer to the pictograph depicting soccer players at Douglas High School, where each star represents 5 students from a total of 75 students. I. The probability of randomly selecting a student from 75 who is either older than 17, a member of the Varsity team, or both, according to the pictograph is GRAPH_1_PLACEHOLDER . II. The probability of randomly selecting a student who is both younger than 17 and a member of the Varsity Soccer Team, as depicted in the pictograph is GRAPH_2_PLACEHOLDER .

Kalista · Answer

1. 2 out of 3
2. 1 out of 5

pintukr · Answer

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

Sajjad1994 · Answer

Official Explanation

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.

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

Show Spoiler

Attachment:

2.jpg [ 82.05 KiB | Viewed 5480 times ]

033 · Answer

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

chetan2u · Answer

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'.

Gemmie · Answer

5 students = 1 star
75 students = 15 stars

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  .

P (older than 17) + P (on Varsity Team) + P (both) = 1 - P (not on Varsity Team & younger than 17)

Those not on Varsity Team & younger than 17: the stars in grey circle only = 5 stars
=> P (not on Varsity Team & younger than 17) =  \frac{5}{15} = \frac{1}{3}

P (older than 17) + P (on Varsity Team) + P (both) =  1 - \frac{1}{3} = \frac{2}{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  .

Younger than 17 & On Varsity team = 3 stars in the overlapping area

P =  \frac{3}{15} = \frac{1}{5}

700999 · Answer

the student will be older than 17 or on the Varsity team, or both, I think this sentence is hard to understand and is easy to make misundeerstiang

pappal · Answer

part 1 asks for the union of the three conditions
1-greater than 17=(total - less than 17)=75-40=35
2- team player which is 50
3- both greater than 17 and on team, which is nothing but (total - less than 17)=35 ;as n(none)=0 here
so using U=1 + 2 - 3=35+50-35=50
resulting in prob.=50/75=2/3
hope i am correct

bb · Answer

I am with you... not sure what the source of the question is but I have made some language edits. Hope I did not miss anything and hope it is easier now.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Graphs and Tables (G&T) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards