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What is the difference between "random events" and "uncertain events" in mathematics? Are they equivalent?
The probability of uncertain events and random events is between 0 and 1.

Random events mean that the probability of their occurrence is a constant. For example, in dice, the probability that the number of points is 1 is 1/6. Will not change because of the size of the dice (as long as the dice are uniform).

The uncertain event contains different possibilities, such as throwing a beer bottle cap, so the size of it cannot be accurately determined.