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In a class of 200 students, each student tosses three coins simultaneo
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01 Aug 2023, 03:33
01 Aug 2023, 03:33
Expert Reply
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Question Stats:
73% (01:12) correct
26% (00:52) wrong based on 42 sessions
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In a class of 200 students, each student tosses three coins simultaneously. At each toss the number of heads were observed. The number of tosses during which 0, 1, 2, 3 heads were obtained is shown in the table:
GRE In a class of 200 students, each student.jpg [ 30.23 KiB | Viewed 2890 times ]
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Attachment:
GRE In a class of 200 students, each student.jpg [ 30.23 KiB | Viewed 2890 times ]
Quantity A |
Quantity B |
Number of times fewer than two heads turned up |
Number of times more than one heads is turned up |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) Free Materials for the GRE General Exam - Where to get it!!
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: In a class of 200 students, each student tosses three coins simultaneo
[#permalink]
11 Aug 2023, 08:27
11 Aug 2023, 08:27
Expert Reply
OE
Relative frequency
Frequency/Total number of terms
We have,
Individual frequency = Relative frequency × Total number of terms
Now we can say,
Number of students getting 0 heads out of 3 = 0.15 × 200 = 30
Number of students getting 1 head out of 3 = 0.35 × 200 = 70
Number of students getting 2heads out of 3 = 0.30 × 200 = 60
Number of students getting 3 heads out of 3 = 0.20 × 200 = 40
QA
Number of times fewer than two
heads turned up
Fewer than 2 heads (i.e. 0 and 1
head
30 + 70 = 100
QB
Number of times more than one
heads is turned up
More than 1 head (i.e. 2 and 3 heads)
60 + 40 = 100
C is the answer
Relative frequency
Frequency/Total number of terms
We have,
Individual frequency = Relative frequency × Total number of terms
Now we can say,
Number of students getting 0 heads out of 3 = 0.15 × 200 = 30
Number of students getting 1 head out of 3 = 0.35 × 200 = 70
Number of students getting 2heads out of 3 = 0.30 × 200 = 60
Number of students getting 3 heads out of 3 = 0.20 × 200 = 40
QA
Number of times fewer than two
heads turned up
Fewer than 2 heads (i.e. 0 and 1
head
30 + 70 = 100
QB
Number of times more than one
heads is turned up
More than 1 head (i.e. 2 and 3 heads)
60 + 40 = 100
C is the answer
Re: In a class of 200 students, each student tosses three coins simultaneo
[#permalink]
13 Sep 2023, 13:16
13 Sep 2023, 13:16
1
Not sure if this is another way of solving the question:
QA: 1 head or 0 head
QB: 2 head or 3 head
Since it's an or probability, you add the probabilities:
QA = 0.5
QB = 0.5
A=B
Choice C
QA: 1 head or 0 head
QB: 2 head or 3 head
Since it's an or probability, you add the probabilities:
QA = 0.5
QB = 0.5
A=B
Choice C
