91Ó°ÊÓ

The Social Security Number of a person consists of 9 digits.

The number can be formed by the repetition of digits.

The last four digits are seen.

The formula for the probability of an event A:

$P\left(A\right)=\frac{\text{Number}\text{of}\text{favorable}\text{outcomes}}{\text{Total}\text{number}\text{of}\text{outcomes}}$

The counts of total and favorable outcomes can be computed by the multiplication rule.

Let A be the event of making a correct guess.

The number of digits that are required to be guessed is 5.

Given that repetition is allowed, the number of digits available at each place of the sequence is 10.

The total number of ways possible for guessing the first five digits of the Social Security Number is given as follows:

$10×10×10×10×10=100000$

The number of favorable ways to guess the correct person corresponding to the number is 1.

The probability of guessing the correct number is computed as follows:

$P\left(A\right)=\frac{1}{100000}$

Therefore, the probability of guessing the correct number is $P\left(A\right)=\frac{1}{100000}$.