A group of 1,000 people filing for unemployment were asked to provide

Question

https://gmatclub.com/forum/download/file.php?mode=view&id=70733 A group of 1,000 people filing for unemployment were asked to provide information about their age and education level. Refer to the Venn diagram below of the survey results. Each symbol represents 10 people in the sample of 1,000. 1. Out of the entire sample, the probability that a randomly chosen person over age 55 has no high school diploma is GRAPH_1_PLACEHOLDER . 2. Out of the entire sample, the probability that a randomly chosen person with no high school diploma is over the age of 55 is GRAPH_2_PLACEHOLDER . 30.jpg

RheaBhatia0302 · Answer

From the diagram, 40/70 = 4/7

Answer: C. 4 out of 7

From the diagram, 40/130 = 4/13

Answer: C. 4 out of 13

Archit3110 · Answer

Only no high school diploma is 90
Only above age of 55 is 30
Both no high school diploma and above age 55 is 40

I. Out of the entire sample, the probability that a randomly chosen person over age 55 has no high school diploma is __________.
A. 1 out of 4
B. 3 out of 4
C. 4 out of 7
D. 7 out of 16
40/70 ; 4/7
option C
II. Out of the entire sample, the probability that a randomly chosen person with no high school diploma is over the age of 55 is__________.

A. 1 out of 4
B. 4 out of 9
C. 4 out of 13
D. 9 out of 16
 4/13 option C

pintukr · Answer

A group of 1,000 people filing for unemployment were asked to provide information about their age and education level. Refer to the Venn diagram below of the survey results. Each symbol represents 10 people in the sample of 1,000.

For the given sample 0f 1000,

No High School Diploma; < 55 years = 90 .............................................(1)
No High School Diploma; > 55 years = 40 .............................................(2)
High School Diploma; > 55 years = 30 .............................................(3)

thus, High School Diploma; < 55 years = 1000- (90+40+30) = 840 .........(4)
---------------------------------------------------------------------------------------
Total sample = 1000
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I. Out of the entire sample, the probability that a randomly chosen person over age 55 has no high school diploma is __________.

A. 1 out of 4
B. 3 out of 4
C. 4 out of 7
D. 7 out of 16

Persons over age 55 = 70
> 55 years; No High School Diploma = 40

Probability = 40/70 = 4/7

(C) is the CORRECT answer

III. Out of the entire sample, the probability that a randomly chosen person with no high school diploma is over the age of 55 is__________.

A. 1 out of 4
B. 4 out of 9
C. 4 out of 13
D. 9 out of 16

Persons No High School Diploma = 130 (ie, 90+40)
No High School Diploma; > 55 years; = 40

Probability = 40/130 = 4/13

(C) is the CORRECT answer

(C), (C) are the CORRECT answers to questions (i) , (II), respectively

Oppenheimer1945 · Answer

Nos of age 55+=7
Nos of No high school diploma=3
P=3/7 (B)

No of no high school diploma=13
no of them 55+=4
P=4/13 (C)

$!vakumar.m · Answer

Sample size of 1000 people
People with no high school diploma = 130
People over age 55 = 70
People over age 55 and no high school diploma = 40

Out of the entire sample, the probability that a randomly chosen person over age 55 has no high school diploma is __________. 
the required probability is 40/70 = 4 out of 7

A. 1 out of 4
B. 3 out of 4 
  C. 4 out of 7  
 D. 7 out of 16

Out of the entire sample, the probability that a randomly chosen person with no high school diploma is over the age of 55 is__________. 
the required probability is 40/130 = 4 out of 13
 A. 1 out of 4
B. 4 out of 9 
  C. 4 out of 13  
 D. 9 out of 16

Catman · Answer

I. Out of the entire sample, the probability that a randomly chosen person over age 55 has no high school diploma is _.

Total number of People Over the age 55 = 70 = 7(number of symbol)*10(1 symbol= 10 people)
Out of these people having no high school diploma =40= 4(number of symbol)*10(1 symbol= 10 people)
Probability=  \frac{40}{70}  =  \frac{4}{7} 
 A. 1 out of 4
B. 3 out of 4 
  C. 4 out of 7  
 D. 7 out of 16

II. Out of the entire sample, the probability that a randomly chosen person with no high school diploma is over the age of 55 is______. 
Total number of People having no high school diploma = 130 = 13(number of symbol)*10(1 symbol= 10 people)
Out of these people over the age 55 =40= 4(number of symbol)*10(1 symbol= 10 people)
Probability=  \frac{40}{130}  =  \frac{4}{13} 
 A. 1 out of 4
B. 4 out of 9 
  C. 4 out of 13  
 D. 9 out of 16

RahulJain293 · Answer

IMO
(c) 4 out of 7
(c) 4 out of 13

A group of 1,000 people filing for unemployment were asked to provide information about their age and education level. Refer to the Venn diagram below of the survey results. Each symbol represents 10 people in the sample of 1,000.
 
 I. Out of the entire sample, the probability that a randomly chosen person over age 55 has no high school diploma is __________.

A. 1 out of 4
B. 3 out of 4 
 C. 4 out of 7 
 D. 7 out of 16

Solution: 
Number of people over 55 - 7*10 - 70
People over 55 with no diploma - 4*10 - 40
Hence probability is 40/70 -  4 out of 7

II. Out of the entire sample, the probability that a randomly chosen person with no high school diploma is over the age of 55 is__________.

A. 1 out of 4
B. 4 out of 9 
 C. 4 out of 13 
 D. 9 out of 16

Solution:

Total sample of people with no diploma - 13*10 - 130
People without diploma and over 55 - 4*10 - 40
Hence probability - 40/130 -  4 out of 13

rn1112 · Answer

I. Out of the entire sample, the probability that a randomly chosen person over age 55 has no high school diploma is __________.

A. 1 out of 4
B. 3 out of 4
C. 4 out of 7
D. 7 out of 16

Total sample = 1000

Venn Diagram provides the following data :-

People (age greater than 55 years) = 70
People (age greater than 55 years) with no diploma = 40

probability of the event will be 40/70 
 = 4 out of 7
 
 The correct option will be (C)

II. Out of the entire sample, the probability that a randomly chosen person with no high school diploma is over the age of 55 is__________.

A. 1 out of 4
B. 4 out of 9
C. 4 out of 13
D. 9 out of 16

Total sample = 1000

Venn Diagram provides the following data :-

People (with no Diploma) = 130 
People (with no Diploma) with age greater than 55 years = 40

probability of the event will be 40/130 
 = 4 out of 13

The correct option will be (C)

(C), (C)

TenthCentury · Answer

I.  C 
 the probability that a randomly chosen person over age 55 has no high school diploma=4/7

II.  C 
the probability that a randomly chosen person with no high school diploma is over the age of 55= 4/13

Sajjad1994 · Answer

The official answer to this question is:

C for both questions.

The competition mode is off now.

Sajjad1994 · Answer

Official Explanation

I. The correct answer is C. Altogether, 70 people in the sample are over age 55; of those 70, 40 have no high school diploma. The probability 40 out of 70 is equal to 4 out of 7.

II. The correct answer is C. Altogether, 130 people in the sample have no high school diploma; of those 130, 40 are over the age of 55. The probability 40 out of 130 is equal to 4 out of 13.

Answer: C and C

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