question:A poker hand is defined as drawing 5 cards at random without replacement from a deck of 52 playing cards. Find the probability of four of a kind (four cards of equal face value and one card of a different value).

question:Each of the 12 students in a class is given a fair 12 sided die. In addition, each student is numbered from 1 to 12 . If the students roll their dice, what is the probability that there is at least one match (e.g., student 4 rolls a 4)?

question:The World Series in baseball continues until either the American League team or the National League team wins four games. How many different orders are possible (e.g., ANNAAA means the American League team wins in six games) if the series goes four games?

question:Draw one card at random from a standard deck of cards. The sample space S is the collection of the 52 cards. Assume that the probability set function assigns 1 / 52 to each of the 52 outcomes. Let begin{aligned} A & ={x: x text { is a jack, queen, or king }}, B & ={x: x text { is a } 9,10, text { or jack and } x text { is red }}, C & ={x: x text { is a club }}, D & ={x: x text { is a diamond, a heart, or a spade }} . end{aligned} Find P(A)