: If a task asks for the probability of rolling a "6" on a die, the student can click a button to "simulate 1,000 rolls". The app then instantly displays a frequency table and a bar chart of the results.

: Students can increase the number of trials from 10 to 10,000. They will see the experimental probability (the real frequency) slowly "settle" and match the theoretical answer provided in the GDZ.

Instead of just showing the static solution to a problem about rolling dice or flipping coins, this feature provides an interactive sandbox where students can "verify" the math through their own experimentation.

To make a GDZ (Готовые домашние задания - Ready-made Homework Solutions) for the 7–9 grade "Probability Theory and Statistics" textbook more than just a list of answers, you can add a feature.

This feature would be a small interactive widget at the bottom of each solution page. It bridges the gap between the theoretical "classical probability formula" ( ) and real-world results.

: Instead of revealing the whole solution at once, use "hint layers." A student can toggle "Show Formula," then "Show Calculation," and finally "See Simulation" to ensure they understand the why before getting the answer. Educational Value