Independence
The word "independent" means, when describing events in the context of probability, that the information that one event occurs does not affect the probability that another event occurs. In mathematical notation, event A is independent of event B if and only if P(A|B) = P(A), i.e. the probability of event A occurring given that event B occurs is equal to the probability of event A occurring.
I assume that the two events to which are you referring are:
A: You make a full house on the river.
B: Your opponent makes quads on the river.
These two events are certainly not independent:
P(A) = 7/44
P(A|B) = 1
If you are asking about the independence of these two events:
C) You hold the highest-ranked hand on the river.
D) Your opponent holds the highest-ranked hand on the river.
then these events are still not independent.
P(C) = 43/44
P(C|D) = 0
heihojin
|