A courtroom clerk wanted to fairly choose four jurors from a pool of 31 volunteers.He assigned each volunteer a two-digit number from 01 to 31.(Let's consider "01", "02", etc. to be two-digit numbers.)He then selected the following line from a random number table.59094 16936 19384 97551 03620 63922 03791Starting from the left, he used the line above to form two-digit numbers as follows.59 09 41 ...Using this new list and starting from the left, he chose four two-digit numbers from 01 to 31.He skipped numbers he had already chosen, the number 00, and numbers greater than 31.The volunteers who were assigned these two-digit numbers were chosen.Which four volunteers did the clerk choose?Volunteer, Volunteer, Volunteer, Volunteer
Question
A courtroom clerk wanted to fairly choose four jurors from a pool of 31 volunteers.He assigned each volunteer a two-digit number from 01 to 31.(Let's consider "01", "02", etc. to be two-digit numbers.)He then selected the following line from a random number table.59094 16936 19384 97551 03620 63922 03791Starting from the left, he used the line above to form two-digit numbers as follows.59 09 41 ...Using this new list and starting from the left, he chose four two-digit numbers from 01 to 31.He skipped numbers he had already chosen, the number 00, and numbers greater than 31.The volunteers who were assigned these two-digit numbers were chosen.Which four volunteers did the clerk choose?Volunteer, Volunteer, Volunteer, Volunteer
Solution 1
The clerk started from the left of the line and formed two-digit numbers. The first number is 59, which is greater than 31, so it is skipped. The next number is 09, which falls within the range of 01 to 31, so the first volunteer chosen is the one assigned the number 09.
Continuing along the line, the next number is 41, which is also greater than 31 and is therefore skipped. The next number is 69, which is also greater than 31 and is skipped. The next number is 36, which is still greater than 31 and is skipped. The next number is 19, which falls within the range of 01 to 31, so the second volunteer chosen is the one assigned the number 19.
Continuing along the line, the next number is 38, which is greater than 31 and is skipped. The next number is 49, which is also greater than 31 and is skipped. The next number is 75, which is also greater than 31 and is skipped. The next number is 51, which is also greater than 31 and is skipped. The next number is 03, which falls within the range of 01 to 31, so the third volunteer chosen is the one assigned the number 03.
Continuing along the line, the next number is 62, which is greater than 31 and is skipped. The next number is 20, which falls within the range of 01 to 31, so the fourth volunteer chosen is the one assigned the number 20.
So, the four volunteers chosen are the ones assigned the numbers 09, 19, 03, and 20.
Solution 2
The clerk started from the left of the line and formed two-digit numbers. The first number is 59, which is greater than 31, so it is skipped. The next number is 09, which falls within the range of 01 to 31, so the first volunteer chosen is the one assigned the number 09.
Continuing along the line, the next number is 41, which is also greater than 31 and is therefore skipped. The next number is 69, which is again greater than 31 and is skipped. The next number is 36, which is still greater than 31 and is skipped. The next number is 19, which falls within the range of 01 to 31, so the second volunteer chosen is the one assigned the number 19.
The next number is 38, which is greater than 31 and is skipped. The next number is 49, which is also greater than 31 and is skipped. The next number is 75, which is again greater than 31 and is skipped. The next number is 51, which is still greater than 31 and is skipped. The next number is 03, which falls within the range of 01 to 31, so the third volunteer chosen is the one assigned the number 03.
Continuing along the line, the next number is 62, which is greater than 31 and is skipped. The next number is 09, which has already been chosen and is therefore skipped. The next number is 22, which falls within the range of 01 to 31, so the fourth and final volunteer chosen is the one assigned the number 22.
So, the four volunteers chosen are the ones assigned the numbers 09, 19, 03, and 22.
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