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Atankshu
Joined: 07 Sep 2019
Last visit: 03 May 2022
Posts: 6
Given Kudos: 28
Location: India
Concentration: Marketing, Entrepreneurship
Schools: Yale '23 Johnson'23 Sloan '23 Kellogg '23
GPA: 3.7
WE:Programming (Finance: Investment Banking)
30 Oct 2020, 11:48
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
65% (01:57) correct
35%
(02:28)
wrong
based on 298
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A certain college has two divisions; a junior class and a senior class, with 800 students in a junior class and 600 students in a senior class. There are 60 sibling pairs with one member of the pair in the junior class and other in the senior class. If two students are picked up at random, one from the junior class and other from the senior class, what is the probability that they will form a sibling pair?
A. 1/480000
B. 1/600
C. 3/70
D. 1/8000
E. 1/800
Source: Mitul Gada and Associates
A. 1/480000
B. 1/600
C. 3/70
D. 1/8000
E. 1/800
Source: Mitul Gada and Associates
30 Oct 2020, 15:41
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Number of ways to choose one member of the sibling pair is 60 and other member is 1.
Probability = \(\frac{ 60*1}{800*600} \)
\(= \frac{1}{8000}\)
Probability = \(\frac{ 60*1}{800*600} \)
\(= \frac{1}{8000}\)
atankshuvagabond
Atankshu
Joined: 07 Sep 2019
Last visit: 03 May 2022
Posts: 6
Given Kudos: 28
Location: India
Concentration: Marketing, Entrepreneurship
Schools: Yale '23 Johnson'23 Sloan '23 Kellogg '23
GPA: 3.7
WE:Programming (Finance: Investment Banking)
30 Oct 2020, 23:16
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Bookmarks
Out of 800 students from junior class, the probability of a student having a sibling = 60/800
Now, out of 600 students from senior class, the probability of a student being the sibling of above chosen student = 1/600
So, total probability of them forming a sibling pair = (60/800) * (1/600) = 1/8000.
Hence, D.
You can also pick a student being a pair from senior class first:
In this case, probability of that senior class student having a sibling = 60/600
Out of 800 students from junior class, the probability of a student being the sibling of above chosen student = 1/800
So, total probability of them forming a sibling pair = (60/600) * (1/800) = 1/8000.
Hence, same answer: D
Now, out of 600 students from senior class, the probability of a student being the sibling of above chosen student = 1/600
So, total probability of them forming a sibling pair = (60/800) * (1/600) = 1/8000.
Hence, D.
You can also pick a student being a pair from senior class first:
In this case, probability of that senior class student having a sibling = 60/600
Out of 800 students from junior class, the probability of a student being the sibling of above chosen student = 1/800
So, total probability of them forming a sibling pair = (60/600) * (1/800) = 1/8000.
Hence, same answer: D
