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09 Aug 2013, 14:10
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If each student gets at least one pencil in the exam hall, what is the probability that a student gets exactly one pencil in the exam hall?
(1) 110 students are expected to get at least one pencil.
(2) 60 students are expected to get at least two pencils.
(1) 110 students are expected to get at least one pencil.
(2) 60 students are expected to get at least two pencils.
st1 implies there are 110 students in the exam hall and everyone of them will get exactly one pencil.
but its not sufficient.
st2 tells, 60 students are expected to get at least two pencils. this not sufficient alone.
Now from both statements,
110 = exactly one + more than one
or 110 = exactly one + 60
or, exactly one = 50 .
so the probability of getting exactly one = 50/110 = 5/11 ,
so Answer (C)
but its not sufficient.
st2 tells, 60 students are expected to get at least two pencils. this not sufficient alone.
Now from both statements,
110 = exactly one + more than one
or 110 = exactly one + 60
or, exactly one = 50 .
so the probability of getting exactly one = 50/110 = 5/11 ,
so Answer (C)
10 Aug 2013, 20:05
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x: Number of students get at least 1 pencil
a: Number of students get exactly 1 pencil
b: Number of students get more than 1 pencil
x= a + b
to find the probability that a student gets exactly one pencil, we need to know the number of student get exactly 1 pencil and the number of student get at least 1 pencil.
1. 110 students are expected to get at least one pencil: x=a + b = 110 --> insufficient
2. 60 students are expected to get at least two pencils or the number of student get more than 1 pencil b = 60 --> insufficient.
(1) + (2): we have: x = a + b = 110 and b = 60 => a=50
The probability that a student gets exactly 1 pencil is: 50/110 = 5/11 --> sufficient
The answer is C
1.
a: Number of students get exactly 1 pencil
b: Number of students get more than 1 pencil
x= a + b
to find the probability that a student gets exactly one pencil, we need to know the number of student get exactly 1 pencil and the number of student get at least 1 pencil.
1. 110 students are expected to get at least one pencil: x=a + b = 110 --> insufficient
2. 60 students are expected to get at least two pencils or the number of student get more than 1 pencil b = 60 --> insufficient.
(1) + (2): we have: x = a + b = 110 and b = 60 => a=50
The probability that a student gets exactly 1 pencil is: 50/110 = 5/11 --> sufficient
The answer is C
1.
11 Aug 2013, 01:12
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Asifpirlo
if each student gets at least one pencil in the exam hall, what is the probability that a student gets exactly one pencil in the exam hall?
(1) 110 students are expected to get at least one pencil
(2) 60 students are expected to get at least two pencils
(1) 110 students are expected to get at least one pencil
(2) 60 students are expected to get at least two pencils
st1 implies there are 110 students in the exam hall and everyone of them will get exactly one pencil.
but its not sufficient.
st2 tells, 60 students are expected to get at least two pencils. this not sufficient alone.
Now from both statements,
110 = exactly one + more than one
or 110 = exactly one + 60
or, exactly one = 50 .
so the probability of getting exactly one = 50/110 = 5/11 ,
so Answer (C)
but its not sufficient.
st2 tells, 60 students are expected to get at least two pencils. this not sufficient alone.
Now from both statements,
110 = exactly one + more than one
or 110 = exactly one + 60
or, exactly one = 50 .
so the probability of getting exactly one = 50/110 = 5/11 ,
so Answer (C)
Each student gets one pencil . and 110 students got one pencil. There are 110 students in the exam hall.
Statement A:- 110 students gets atleast one pencil in the exam hall. With this we can only get the number of students in the exam hall.But not the number of students who got exactly one pencil. So A and D are out
Statement B:- 60 students are expected to get atleast two pencils in the exam hall. With this statement ALONE we will not be able to get the number of students who got exactly two pencils in the exam hall. So B is out.
Both statements combined. we get that 110 students get atleast one pencil. and 60 students get atleast two pencils. Refer to the diagram below
Attachment:
set.jpg [ 17.47 KiB | Viewed 4540 times ]
So the number of students who got exactly one pencil is the middle portion. ie 110 - 60 = 50. So the answer is C
