FREE Homework Help
Ask your homework question and get help from others
Help friends with their homework problems
Ask YOUR question:

What is the probability that a PIN assigned at random has at least one 0?

0 votes
The personal identification numbers (PINs) for automatic teller machines usually consist of four digits. You notice that most of your PINs have at least one 0, and you wonder if the issuers use lots of 0s to make the numbers easy to remember. Suppose that PINs are assigned at random, so that all four-digit numbers are equally likely.
(a) How many possible PINs are there?
(b) What is the probability that a PIN assigned at random has at least one 0?
asked 6 years ago in Probability by anonymous

Looking for MORE solutions? SHARE this question:
  

1 Answer

0 votes
 
Best answer

a) Number of Pins: 10000 (since pins can be from 0000 to 9999 thats 10,000 numbers)

or another way: 10 numbers, 4 positions so 10^4 = 10*10*10*10 = 10000

b) P(all 4 numbers are not 0) = 0.9*0.9*0.9*0.9 =  0.6561

so at least one 0 is 1- 0.6561 = 0.3439

 

 

 
answered 6 years ago by anonymous

Related questions