Interesting Simple Math Quiz on Birthday

How many people would be enough to make the odds of  birthday match at least 50-50?


Guess the answer and then read the following paragraph;

You have to stay with the explanation for a while to finally get it.

 

By an amazing coincidence my sister, Cathy, and my Aunt Vere have the same birthday: April 4 Actually, it’s not so amazing. In any extended family with enough siblings, aunts, uncles and cousins, you’d expect at least one such birthday coincidence. Certainly, if there are 366 people in the family — more relatives than days of the year — they can’t all have different birthdays, so a match is guaranteed in a family this big. (Or if you’re worried about leap year, make it 367.) But suppose we don’t insist on absolute certainty. A classic puzzle called the “birthday problem” asks: How many people would be enough to make the odds of a match at least 50-50? The answer, just 23 people, comes as a shock to most of us the first time we hear it. Partly that’s because it’s so much less than 366. But it’s also because we tend to mistake the question for one about ourselvesMy birthday.

To read explanation click on article below:

 

http://opinionator.blogs.nytimes.com/2012/10/01/its-my-birthday-too-yeah/?emc=eta1

Divine Prportion, Golden Ratio or Phi =1.618

Proportion Control

By STEVEN STROGATZ 
No other number attracts such a fevered following as the golden ratio. Approximately equal to 1.618 and denoted by the Greek letter phi, it’s been canonized as the “Divine Proportion.” Its devotees will tell you it’s ubiquitous in nature, art and architecture. And there are plastic surgeons and financial mavens who will tell you it’s the secret to pretty faces and handsome returns.

Not bad for the second-most famous irrational number. In your face, pi!

It even made a cameo appearance in “The Da Vinci Code.” While trying to decipher the clues left at the murder scene in the Louvre that opens the novel, the hero, Robert Langdon, “felt himself suddenly reeling back to Harvard, standing in front of his ‘Symbolism in Art’ class, writing his favorite number on the chalkboard. 1.618.”

Read More by clicking on Link:

http://opinionator.blogs.nytimes.com/2012/09/24/proportion-control/?src=me&ref=general