Chapter 10.8, Problem 16IP

To determine

The probability of having the last two members is the age is less than 100 years old.

Answer to Problem 16IP

The probability of having the last two members is the age is less than 100 years old is $\frac{1}{100}$ .

Explanation of Solution

Given information:

Every U.S citizen has a nine digit society security number. The first three digits are geographic code, the next two digits are determined by the year and the state where the number is being issued and the last four digits are random numbers.

Formula Used:

  $\text{P=}\frac{\text{No}\text{.}\text{of}\text{favorable}\text{outcomes}}{\text{No}\text{.}\text{of}\text{possible}\text{outcomes}}$

Calculation:

Each of the last two numbers is picked randomly, so there are 10 possibilities for each number.

  $10\times 10=100$

There is only one possibility for your age. So, the probability is $\frac{1}{100}$ .

Conclusion:

The probability of having the last two members is the age is less than 100 years old is $\frac{1}{100}$ .