The joint probability of two discrete variables, X and Y isP(x, y) = Prob(X = x and Y = y) and it is defined for each ordered pair (x,y) in the event space.
The conditional probability of X, given that Y is y is Prob[(X, Y) = (x, y)]/Prob(Y = y) or equivalently,
Prob(X = x and Y = y)/Prob(Y = y)
The marginal probability of X is simply the probability of X. It can be derived from the joint distribution by summing over all possible values of Y.
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There is no real relationship. Probabilities for the Normal distribution are extremely difficult to work out. The z-score is a method used to convert any Normal distribution into the Standard Normal distribution so that its probabilities can be looked up in tables easily. There are infinitely many types of continuous probability distributions and the Normal is just one of them.
The conditional constant= 1.8*1010
0- less than1
No. Probabilities are 'counted' as between 1 (certain) and 0 (impossible)
0% and 100% or o and 1