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09 Jan 2025, 01:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
55% (01:19) correct
45%
(01:13)
wrong
based on 245
sessions
History
Date
Time
Result
Not Attempted Yet
If there are a certain number of students in a classroom, what is the probability that at least 3 of them have birthdays in the same month?
(1) There are no students born in the month of December.
(2) There are 25 students in the classroom.
(1) There are no students born in the month of December.
(2) There are 25 students in the classroom.
11 Jan 2025, 00:15
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If there are a certain number of students in a classroom, what is the probability that at least 3 of them have birthdays in the same month?
(1) There are no students born in the month of December.
We don't know the total number of students. E.g.
There can be 3 students whose birthday are in Jan,Feb,Mar
There can be 5 students whose birthday are in Jan,Jan,Jan,Feb,Mar
Therefore A not sufficient.
(2) There are 25 students in the classroom.
Possibilities:
1. All have birthday in same month
2. There can be 12 students have birthday in each month,
Remaining =13 can all have birthday in same month,
or 12 have birthday in same month,
Remaining 1 can have birthday in any month
Therefore atleast 3 have birthday in 1 month
Therefore B sufficient.
(1) There are no students born in the month of December.
We don't know the total number of students. E.g.
There can be 3 students whose birthday are in Jan,Feb,Mar
There can be 5 students whose birthday are in Jan,Jan,Jan,Feb,Mar
Therefore A not sufficient.
(2) There are 25 students in the classroom.
Possibilities:
1. All have birthday in same month
2. There can be 12 students have birthday in each month,
Remaining =13 can all have birthday in same month,
or 12 have birthday in same month,
Remaining 1 can have birthday in any month
Therefore atleast 3 have birthday in 1 month
Therefore B sufficient.
14 Jan 2025, 23:41
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Hey,
I have a doubt, in B there are two options, as u have highlighted in your reply, then why B is sufficient. It is insufficient right ? Because we cant get a single solution!
I have a doubt, in B there are two options, as u have highlighted in your reply, then why B is sufficient. It is insufficient right ? Because we cant get a single solution!
Vi06
