Probability Problem With 5. Draw a picture. We can associate the 2 numbers with a point on the x-y axis. 0<=x<=1, 0<=y<=1 With 6. Ask a simpler version of the problem What is the region on the graph that x/y will round down to 0? Answer: y needs to be bigger than x, so it is the area above the y=x What is the region on the graph that x/y will round down to 2? Answer: x needs to be equal or greater than y twice && x needs to be smaller than y 3 times. Thus it is the area below y=x/2, above y=x/3x Answer is basically sum of the triangles on the graph Take advantage of Python codes to obtain an answer !pip3 install numpy import numpy as np data_size = 10**6 x = np.random.random(data_size) y = np.random.random(data_size) ratios = x / y round_down_ratio = np.floor(ratios) even_ratio_res = (round_down_ratio % 2 == 0).mean()