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.

Can randomness be defined? Since I believe that the word means the absence of order, the proving of randomness involves proving a negative. What, then is the meaning of the terms random number and random sequence? Does the designation of any events e.g. radioactive decay, as random mean anything other than "uninfluenceable by any known agency" and/or "not showing any regularity discernible by humans"?

What if a person could indefinitely predict the outcome of a coin flip? I understand that's not much of a question; but I want to know what that would mean in terms of either that single person, or the universe in general. If it happened tomorrow, what happens next?

How popular is Bayes' theorem among philosophers? As a physicist, it has had a profound effect on my thinking, and seems to reflect the way we intuitively deal with new evidence presented to us. As a reminder, Bayes' theorem states: Probability(A given B) = Probability(B given A)*Probability(A)/Probability(B) For example, if A is "A revolutionary new theory" and B is "Data from my experiment", then Bayes' theorem tells us that we have to take into account our initial (prior) belief in the theory P(A), given our background knowledge, before even looking at our data.

Do luck and bad luck exist? Or have they just been imagined in order to create excuses?

Can there be an event that is entirely random?