Give your answer to the nearest integer. Fill in the blank: The number of possib
ID: 3175951 • Letter: G
Question
Give your answer to the nearest integer.
Fill in the blank:
The number of possible PINs is: _______ .
Give your answer to 4 decimal places.
Fill in the blank:
The probability that a PIN assigned at random has at least one 0 is: _______ .
Step 1:
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 and assume that PINs can have leading 0s.
How many possible PINs are there?
Give your answer to the nearest integer.
Fill in the blank:
The number of possible PINs is: _______ .
Step 2:
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 and assume that PINs can have leading 0s.
What is the probability that a PIN assigned at random has at least one 0?
Give your answer to 4 decimal places.
Fill in the blank:
The probability that a PIN assigned at random has at least one 0 is: _______ .
Explanation / Answer
Total possibel PINs is 10*10*10*10= 10,000
Total possible PINs with no 0 =9*9*9*9 = 6561 thus,
10000 - 6561 = 3439 PINs have at least one zero thus 3439 / 10000 = 0.3439 or 34.39%
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