Question

A Social Security number consist of nine digits in the particular order, and 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? The probability is

Answer 1

Using the Fundamental Counting Theorem, it is found that there is a $10^{-5}$ probability of getting the correct Social Security number of the person who was given the receipt.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

In this problem, there are 5 digits, each with 10 possible options, hence the number of options is given by:

$N = 10^5$

Only one option is correct, hence the probability is given by:

$p = \frac{1}{N} = \frac{1}{10^5} = 10^{-5}$

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

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