A social security number consists of nine digits in a particular​ order, and repetition of digits is allowed. after seeing the last four digits printed on a​ receipt, if you randomly select the other​ digits, what is the probability of getting the correct social security number of the person who was given the​ receipt?

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 = 9After last four digits are printed, the number of digits remaining to print = 9-4=5Since , 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]