SOLUTION: if we generate 100 numbers between 1 and 100 , can we determine what is the probability a particular number, for example 27, is not generated?

Algebra ->  Probability-and-statistics -> SOLUTION: if we generate 100 numbers between 1 and 100 , can we determine what is the probability a particular number, for example 27, is not generated?      Log On


   



Question 1148958: if we generate 100 numbers between 1 and 100 , can we determine what is the probability a particular number, for example 27, is not generated?
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.

The problems formulation is not precisely accurate, so I will edit it.
My editing is underlined.

    if we randomly generate 100  integer numbers between 1 and 100 , can we determine 
    what is the probability a particular number, for example 27, is not generated?


Solution

For any one single generation (any one of the 100 generations), the probability to get any integer 
between 1 and 100 is  1%2F100,  under the given condition.


Hence, for any one single generation (any one of the 100 generations), the probability DO NOT get some particular integer 
between 1 and 100 is  99%2F100,  under the given condition.


It implies that the probability DO NOT get some particular number at 100 generations is  

          %2899%2F100%29%5E100 = 0.366 = 36.6%  (approximately).

Solved.