1. **State the problem:** We want to generate random numbers in the interval $[0,1]$ with 2-digit accuracy, meaning numbers like $0.00, 0.01, 0.02, \ldots, 0.99, 1.00$. 2. **Understanding 2-digit accuracy:** Two-digit accuracy means the number is rounded or truncated to two decimal places. This corresponds to increments of $0.01$. 3. **Procedure to generate such numbers physically:** - Use a physical random process that can produce integers from 0 to 100 uniformly at random. For example, roll a 100-sided die or use a spinner divided into 100 equal sectors. - Let the outcome be an integer $k$ where $0 \leq k \leq 100$. - Convert this integer to a decimal number by dividing by 100: $$x = \frac{k}{100}$$ - This $x$ is a random number in $[0,1]$ with 2-digit accuracy. 4. **Important notes:** - The physical device must be fair and unbiased to ensure uniform randomness. - The resolution of the device must allow distinguishing all 101 possible outcomes (including 0 and 100). 5. **Summary:** Generate a uniform integer $k$ from 0 to 100 using a physical random device, then compute $x = \frac{k}{100}$ to get a random number in $[0,1]$ with 2-digit accuracy.