Let two numbers be x, y (0 < x < 1, 0 < y < 0), then the area is q = 1 × 1 = 1.
Favorable event p (xy < 1/4)
area = 1× 1/4∫[ 1/4, 1]( 1/4x)dx =( 1㏑4)/4?
The probability that the product of two numbers is less than 1/4 is p = [(1㏑ 4)/4]1= (1㏑ 4)/4 ≈ 0.5966.
The meaning of probability:
Refers to events that may or may not occur under the same conditions. For example, it is a random event to randomly select one from a batch of goods with genuine products and defective products, and "what is extracted is genuine products".
Suppose a random phenomenon is tested and observed n times, in which event A appears m times, that is, its frequency is m/n. After a lot of repeated experiments, m/n is often closer to a constant.