Using the probability concept, it is found that there is a:
- a) 0.0001 = 0.01% probability that a PIN number is equal to 0000.
- b) 0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.
- c) 0.1 = 10% probability that a PIN number is divisible by 10.
- d) 0.9988 = 99.88% probability that a PIN number is at least 13.
What is a probability?
- A probability is given by the number of desired outcomes divided by the number of total outcomes.
A personal identification number (PIN) consists of four digits, and considering they can repeat, the total number of PINs is:
[tex]T = 10^4 = 10000[/tex]
Item a:
A PIN equals to 0000 is one outcome, hence:
[tex]p = \frac{1}{10000} = 0.0001[/tex]
0.0001 = 0.01% probability that a PIN number is equal to 0000.
Item b:
In this interval, there are 8000 - 7900 - 1 = 99 possible values, hence:
[tex]p = \frac{99}{10000} = 0.0099[/tex]
0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.
Item c:
One in ten numbers are divisible by 10, hence:
[tex]p = \frac{1}{10} = 0.1[/tex]
0.1 = 10% probability that a PIN number is divisible by 10.
Item d:
12 numbers, from 1 to 12, are less than 13, hence 10000 - 12 = 9988 are at least 13, hence:
[tex]p = \frac{9988}{10000} = 0.9988[/tex]
0.9988 = 99.88% probability that a PIN number is at least 13.
You can learn more about the probability concept at https://brainly.com/question/15536019
