Question

a political pollster wanted to fairly choose three voting precincts from an area of 30 precincts for a survey. he assigned each precinct a two - digit number from 01 to 30. (lets consider \01\, \02\, etc. to be two - digit numbers.) he then selected the following line from a random number table. 09719 75103 97353 88751 11386 72143 98651 starting from the left, he used the line above to form two - digit numbers as follows. 09 71 97... using this new list and starting from the left, he chose three two - digit numbers from 01 to 30. he skipped numbers he had already chosen, the number 00, and numbers greater than 30. the precincts that were assigned these two - digit numbers were chosen. which three precincts did the pollster choose? precinct, precinct, precinct

Explanation:

Step1: Analyze the first two - digit number

The first two - digit number is \(09\). Since \(01\leqslant09\leqslant30\), \(09\) is a valid number.

Step2: Analyze the second two - digit number

The second two - digit number is \(71\). Since \(71>30\), skip \(71\).

Step3: Analyze the third two - digit number

The third two - digit number is \(97\). Since \(97 > 30\), skip \(97\).

Step4: Analyze the fourth two - digit number

The fourth two - digit number is \(19\). Since \(01\leqslant19\leqslant30\), \(19\) is a valid number.

Step5: Analyze the fifth two - digit number

The fifth two - digit number is \(75\). Since \(75>30\), skip \(75\).

Step6: Analyze the sixth two - digit number

The sixth two - digit number is \(10\). Since \(01\leqslant10\leqslant30\), \(10\) is a valid number.

Answer:

Precinct \(09\), Precinct \(19\), Precinct \(10\)