+0  
 
0
3
6356
2
avatar

coolcoolAn Integer from 100 through 999, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0 as at least 1 digit? cheeky

 Jun 14, 2016
 #1
avatar
0

The probability of any of the ten digits from 0 to 9 is 10%, when the number chosen is totally random.

 Jun 14, 2016
 #2
avatar+129839 
0

From 100 - 199 inclusive, there are 19 numbers containing at least one zero

 

And we have the same number in each hundred from x00 to x99   where x ranges from 1 to 9

 

So..... the total number of integers from 100- 999 inclusive that have at least one zero  =

 

9(19)  = 171

 

So....the probability that we select a digit that contains at least one zero  =  171 / 900  = 19%

 

 

cool cool cool

 Jun 14, 2016

2 Online Users

avatar