A courtroom clerk wanted to fairly choose four jurors from a pool of 27 volunteers. He assigned each volunteer a two-digit number from 01 to 27 (consider "01", "02", etc. to be two-digit numbers). He then selected the following line from a random number table:

[tex]\[ \begin{array}{lllllll}
40273 & 09482 & 62064 & 01573 & 82774 & 81426 & 32277
\end{array} \][/tex]

Starting from the left, he used the line above to form two-digit numbers as follows:

[tex]\[ 40 \ 27 \ 30 \ \ldots \][/tex]

Using this new list and starting from the left, he chose four two-digit numbers from 01 to 27. He skipped numbers he had already chosen, the number 00, and numbers greater than 27.

Which four volunteers did the clerk choose?

Volunteer \(\square\)
Volunteer \(\square\)
Volunteer \(\square\)
Volunteer [tex]\(\square\)[/tex]



Answer :

To determine which four volunteers were chosen, we need to extract two-digit numbers from the given sequence starting from the left and choose the first four valid numbers that fall within the range 01 to 27. We also skip any invalid numbers, repeats, and the number 00. Let's walk through the sequence step-by-step:

1. Start with the first two-digit number from the sequence:
- "40" → This is greater than 27, so we skip it.

2. Move to the next pair of digits:
- "27" → This is within the range 01-27. It's our first chosen number.

3. Next pair of digits:
- "30" → This is greater than 27, so we skip it.

4. Next pair of digits:
- "94" → This is greater than 27, so we skip it.

5. Next pair:
- "82" → This is greater than 27, so we skip it.

6. Next pair:
- "62" → This is greater than 27, so we skip it.

7. Next pair:
- "06" → This is within the range 01-27 and hasn’t been chosen yet. It's our second chosen number.

8. Next pair:
- "20" → This is within the range 01-27 and hasn’t been chosen yet. It's our third chosen number.

9. Next pair:
- "64" → This is greater than 27, so we skip it.

10. Next pair:
- "01" → This is within the range 01-27 and hasn’t been chosen yet. It's our fourth chosen number.

Having selected four valid two-digit numbers, our final chosen numbers are:

- 27
- 06
- 20
- 01

Thus, the volunteers chosen by the clerk are:
Volunteer 27, Volunteer 06, Volunteer 20, Volunteer 01

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