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In a roomful of 30 people, what is the probability that at least two people have the same birthday? Assume birthdays are uniformly distributed and there is no leap year complication.

Olpers  Aug 26, 2018

Best Answer 

 #1
avatar+93289 
+3

In a roomful of 30 people, what is the probability that at least two people have the same birthday? 

 

What is the prob that 30 people in a room all have different birthdays?  (asssuming no one is born on 29th Feb)

 

365/365*(364/365)*(363/365) ...... [(366-30)]/365 =    0.2937

 

So the prob that 2 or more have the same birthday is   1-0.2937 = 0.7063 approximately.

Melody  Aug 26, 2018
edited by Melody  Aug 26, 2018
 #1
avatar+93289 
+3
Best Answer

In a roomful of 30 people, what is the probability that at least two people have the same birthday? 

 

What is the prob that 30 people in a room all have different birthdays?  (asssuming no one is born on 29th Feb)

 

365/365*(364/365)*(363/365) ...... [(366-30)]/365 =    0.2937

 

So the prob that 2 or more have the same birthday is   1-0.2937 = 0.7063 approximately.

Melody  Aug 26, 2018
edited by Melody  Aug 26, 2018

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