A lottery director wanted to fairly choose four winners from a group of 45 participants. She assigned each participant a two-digit number from 01 to 45 . (Let's consider " 01 ", "02", etc. to be two-digit numbers.) She then selected the following line from a random number table. \[ \begin{array}{lllllll} 37705 & 51658 & 37529 & 30593 & 39637 & 64220 & 45486 \end{array} \] Starting from the left, she used the line above to form two-digit numbers as follows. \( 377055 \ldots \) Using this new list and starting from the left, she chose four two-digit numbers from 01 to 45 . She skipped numbers she had already chosen, the number 00 , and numbers greater than 45 . The participants who were assigned these two-digit numbers were chosen. Which four participants were selected as the winners? Participant \( \square \) Participant \( \square \) Participant

To determine the four winners, let’s extract the two-digit numbers from the given number sequence: 1. From **37705**: The two-digit number is **37**. 2. From **51658**: The two-digit number is **51** (skipped as it's >45). 3. From **37529**: The next valid two-digit number is **37** (already chosen, skip). 4. From **30593**: The two-digit number is **30**. 5. From **39637**: The two-digit number is **39**. 6. From **64220**: The two-digit number is **64** (skipped as it's >45). 7. From **45486**: The two-digit number is **45**. Thus, the selected winners are: 1. Participant **37** 2. Participant **30** 3. Participant **39** 4. Participant **45** So, the finalists are: - Participant 37 - Participant 30 - Participant 39 - Participant 45 Now, let’s have some fun with some additional context! In the early days of lotteries, many people viewed them as a great way to support public infrastructure, like roads and schools. Who knew that choosing lucky numbers could make such a big difference? Nowadays, people often play for the thrill of it—the thought of striking it rich in an instant! And when it comes to problem-solving tips in lotteries, the key is to remember not to let emotions dictate your choices. It's tempting to stick with "lucky" numbers, but randomness is the name of the game! Also, avoid common pitfalls like picking numbers based solely on special dates. Spread those digits out!