Questions about the world of GRE Math from other sources and general math related questions.
kwame.appau
Prospective Students
 
Posts: 35
Joined: Sat Jan 05, 2013 6:49 am
 

Probability

by kwame.appau Wed Aug 06, 2014 10:35 am

Howdy!
Please I need explanation to the approach of the probability question below.
"There are 27 students on the college debate team. what is the probability that at least 3 of them have their birthday in the same month?"
Source: Page 433 of Barron's New GRE 19th edition.
The answer given is 1, however, I guess the answer should be
1-2/27 = 25/27.
tommywallach
Manhattan Prep Staff
 
Posts: 1917
Joined: Thu Mar 31, 2011 11:18 am
 

Re: Probability

by tommywallach Wed Aug 06, 2014 10:44 pm

Hey Kwame,

If you have 12 people, the most evenly distributed they could be would place 1 person in each month. If there were 24 people, the most evenly distributed they could be would place two people in each month. But at that point, if you add another person, they have to join a month that already has two people. There is no way to distribute more than 24 people in 12 months and not have at least one month with three people in it.

-t
kwame.appau
Prospective Students
 
Posts: 35
Joined: Sat Jan 05, 2013 6:49 am
 

Re: Probability

by kwame.appau Thu Aug 07, 2014 6:18 am

Oh I see. Thanks very much. So it means one need not to necessarily use formula to solve it?
tommywallach
Manhattan Prep Staff
 
Posts: 1917
Joined: Thu Mar 31, 2011 11:18 am
 

Re: Probability

by tommywallach Sat Aug 09, 2014 10:09 pm

More than that, you can't use a formula to solve this one. This happens surprisingly often on the test, so never turn off your "logical" brain and resort to trying to "solve" everything.

Good luck!

-t