in maths you can have lots but it is usually the following:
impossible
very unlikely
unlikely
50/50
likely
very likely
certain
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Different lotteries have different schemes and so the probabilities are different.
Conditional probabilities arise when you revise the probabilities previously attached to some events in order to take new information into account. The revised probabilities are 'conditional on the new information you have received'.
I do not add probabilities to anybody!
Empirical probabilities.
Yes, but that might not always make sense.