Am I correct in thinking that the definition of randomness is that all possible

Am I correct in thinking that the definition of randomness is that all possible

Am I correct in thinking that the definition of randomness is that all possible outcome had an equal chance of occurring? And that in an event being totaly random, absolutely anything could happen? The likeliness of a banana peeling itself open is the same as a whole new universe, the size of a basketball, appearing is the exact same? Thank you for your time. ~Kris S.

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