A) A Social Security number consists of nine digits chosen from 0, 1, 2, 3, 4, 5

Question

A) A Social Security number consists of nine digits chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 in a particular order, and repetition of digits is allowed. How many possible Social Security numbers are there in total?

B)A Social Security number consists of nine digits chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 in a particular order, and repetition of digits is allowed. If randomly selecting digits for one Social Security number, what is the probability (in decimals) that you get the Social Security number of the president?

Explanation / Answer

a) As we can fill each of the nine digits of the social security number with 10 distinct digits, the total number of social security numbers possible would be:

= 10*10 *...... 9 times

= 109 = 1,000,000,000

b) Now if we randomly select a social security number, the probability that we will get a particular social security number would be:

= 1/ 1,000,000,000 = 10-9 = 0.000000001

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