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Large Number (Posted on 2003-05-06) Difficulty: 3 of 5
Assume there are approximately 5,000,000,000 people on earth. What would you estimate to be the result, if you multiply together the number of fingers on every person's left hands?

(If you cannot estimate the number, then try to guess how long the number would be.)

See The Solution Submitted by chris    
Rating: 3.8571 (7 votes)

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Solution Puzzle Solution | Comment 17 of 18 |
(In reply to Problem Solution by K Sengupta)

In a sufficiently large sample (of size p) in a very large population of 5,000,000,000 persons, in our case the entire population of Earth, the probability that there is at least one person no fingers on the left hand would be 1. 

Let N_i be the number of fingers for the ith person, with i =1,2,...., 4,999,999,999

Thus, the product of the number of fingers of all these 5*10^9 people is equal to:
= 0* Prod(i =1,2,..., p)(N_i)
= 0

Therefore, the required estimate would be 0.

Edited on April 19, 2007, 11:10 pm
  Posted by K Sengupta on 2007-04-19 01:52:58

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