To generate random numbers between 0 and 1 with two decimal places in Mathematica, the Round function can be utilized effectively. For example, using Round[RandomReal[1, 10], 0.01] will yield the desired result. It's important to note that the WorkingPrecision option in the RandomReal function is intended for increasing precision rather than decreasing it. Caution is advised when using WorkingPrecision, as it may affect the distribution of the generated numbers, and this potential impact is not clearly documented.