Answer: [tex]\dfrac{1}{100,000}[/tex]
Step-by-step explanation:
Given : The total number of digits in number system (0 to 9) = 10
The number of digits in a social security number = 9
After last four digits are printed, the number of digits remaining to print = 9-4=5
Since , repetition of digits is allowed, then the total number of ways to print 5 remaining digits is given by :-
[tex]10\times10\times10\times10\times10=100,000[/tex]
Now, the probability of getting the correct Social Security number of the person who was given the receipt is given by:-
[tex]\dfrac{\text{Number of correct code}}{\text{Total number of codes}}\\\\=\dfrac{1}{100,000}[/tex]
