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There are 27 students on the collage debate team. What is the probabil

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There are 27 students on the collage debate team. What is the probabil [#permalink]

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20 Oct 2010, 07:57
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There are 27 students on the collage debate team. What is the probability that at least 3 of them have their birthdays in the same month?

A. 0
B. 3/27
C. 3/12
D. 1/2
E. 1
[Reveal] Spoiler: OA

Last edited by Bunuel on 31 Oct 2014, 04:22, edited 1 time in total.
Renamed the topic and edited the question.

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Re: There are 27 students on the collage debate team. What is the probabil [#permalink]

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20 Oct 2010, 10:14
worst case
--------------
even distribution of 27 students' birth months across 12 months..
after 24 students, each month will have 2 students' birthday. The rest 3 students' birthday can go in to any month
making the count to 3 or more.

So this is always true or the situtaion will exists all the time and hence the probability should be 1 (E)

(put little more description)

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Re: There are 27 students on the collage debate team. What is the probabil [#permalink]

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31 Oct 2014, 03:53
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Re: There are 27 students on the collage debate team. What is the probabil [#permalink]

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17 Mar 2017, 14:34
It is not 1, but some value very close to 1. Is this a valid question? Should there be an "approximate" in the question?

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Re: There are 27 students on the collage debate team. What is the probabil [#permalink]

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18 Mar 2017, 02:26
manhasnoname wrote:
It is not 1, but some value very close to 1. Is this a valid question? Should there be an "approximate" in the question?

Why do you think that the probability is not 1? It's not clear at all from your post.
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Re: There are 27 students on the collage debate team. What is the probabil [#permalink]

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18 Mar 2017, 04:37
krushna wrote:
worst case
--------------
even distribution of 27 students' birth months across 12 months..
after 24 students, each month will have 2 students' birthday. The rest 3 students' birthday can go in to any month
making the count to 3 or more.

So this is always true or the situtaion will exists all the time and hence the probability should be 1 (E)

(put little more description)

Sure, correct answer. I think we don't need much calculation for this question, just simple logic right?

Similar simple logic question :
In a drawer which contain 23 pcs red socks and 15 pcs white socks, how many minimum socks should we take without looking to get one pair with the same color?
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Re: There are 27 students on the collage debate team. What is the probabil [#permalink]

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18 Mar 2017, 20:28
Bunuel wrote:
manhasnoname wrote:
It is not 1, but some value very close to 1. Is this a valid question? Should there be an "approximate" in the question?

Why do you think that the probability is not 1? It's not clear at all from your post.

Sorry. I was doing that by numbers. I totally missed the logic part.

Even if I use numbers, I should arrive at probability of 1. I screwed up caclulation somewhere. It is not worth discussing anymore. My bad. Sorry again.

Kudos [?]: 17 [0], given: 79

Re: There are 27 students on the collage debate team. What is the probabil   [#permalink] 18 Mar 2017, 20:28
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