ABSTRACT
In this chapter, we deal with problems in which some information given may influence the probabilities in question. The resulting conditional probabilities arise frequently in poker problems and in other applications. In the particular case where the observed events do not influence the probabilities of relevant future events, we say the events are independent. This situation rarely occurs in problems involving one particular hand of Texas Hold’em, because the deck is finite and is not reshuffled after each card is dealt, so the appearance of one or more cards substantially changes the distribution for future cards. However, since the deck is reshuffled between hands, what occurs on one hand may typically be considered independent of what occurs on other hands, so problems involving independence can arise when considering collections of hands.
