What is the difference between statistical distribution and random distribution?

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Sorry for the stupid question, I am confused about the two concept due to the definition of random distribtion on Wolfram.

It says: A statistical distribution in which the variates occur with probabilities asymptotically matching their "true" underlying statistical distribution is said to be random.

According to Wolfram, statistical distribution is: "The distribution of a variable is a description of the relative numbers of times each possible outcome will occur in a number of trials."

Doesn't it mean that both concept are equivalent? Would would be a statistical distribution which is NOT a random distribution?

Thank you in advance for help!