A political pollster wanted to fairly choose three voting precincts from an area of 32 precincts for a survey.She assigned each precinct a two-digit number from 01 to 32.(Let's consider "01", "02", etc. to be two-digit numbers.)She then selected the following line from a random number table.49063 97886 14063 93868 78483 74717 68144Starting from the left, she used the line above to form two-digit numbers as follows.49 06 39 ...Using this new list and starting from the left, she chose three two-digit numbers from 01 to 32.She skipped numbers she had already chosen, the number 00, and numbers greater than 32.The precincts that were assigned these two-digit numbers were chosen.Which three precincts did the pollster choose?Precinct, Precinct, Precinct
Question
A political pollster wanted to fairly choose three voting precincts from an area of 32 precincts for a survey.She assigned each precinct a two-digit number from 01 to 32.(Let's consider "01", "02", etc. to be two-digit numbers.)She then selected the following line from a random number table.49063 97886 14063 93868 78483 74717 68144Starting from the left, she used the line above to form two-digit numbers as follows.49 06 39 ...Using this new list and starting from the left, she chose three two-digit numbers from 01 to 32.She skipped numbers she had already chosen, the number 00, and numbers greater than 32.The precincts that were assigned these two-digit numbers were chosen.Which three precincts did the pollster choose?Precinct, Precinct, Precinct
Solution
The pollster started from the left of the line and formed two-digit numbers. The first number is 49, but it's greater than 32, so it's skipped. The next number is 06, which is within the range of 01 to 32, so the first precinct chosen is Precinct 06.
Continuing along the line, the next number is 39, but it's greater than 32, so it's skipped. The next number is 78, which is also greater than 32, so it's skipped as well. The next number is 86, which is again greater than 32, so it's skipped.
The next number is 14, which is within the range of 01 to 32, and hasn't been chosen before, so the second precinct chosen is Precinct 14.
Continuing along the line, the next number is 06, but it's already been chosen, so it's skipped. The next number is 39, which is greater than 32, so it's skipped. The next number is 38, which is within the range of 01 to 32, and hasn't been chosen before, so the third precinct chosen is Precinct 38.
So, the three precincts that the pollster chose are Precinct 06, Precinct 14, and Precinct 38.
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