"Texas Hold-em is a poker game in which players are each dealt two cards face down (called your hole or pocket cards), from a standard deck of 52 cards, followed by a round of betting, and then five cards are dealt face up on the table with various breaks to permit players to bet the farm. These are communal cards that anyone can use in combination with their two pocket cards to form a poker hand. Players can use any five of the face-up cards and their two cards to form a five card poker hand. Probability calculations for this game are not only required at the end, but also at intermediate steps and are quite complicated so that usually simulation is used to determine the odds that you will win given your current information, so consider a simple example. Suppose we were dealt 2 Jacks in the first round.
(a) What is the probability that the next three cards (face up) include at least one Jack?
(b) Given that there was no Jack among these next three cards, what is the probability that there is at least one among the last two cards dealt face-up?"
I don't know how to do (b). Uhh...I don't really think I got the rules of Texas Hold 'Em from this short description. (a) and (c) were questions that weren't really about the game rules itself, but what does "last two cards dealt" mean? Aren't we already told that the last two cards dealt are all jacks?