Probability and Expected Value
The numbers 1 through 9 are written individually on nine cards. Choose three cards from the nine, letting x, y, and z denote the numbers of the cards arranged in increasing order.
A. There are ____ ____ such as x, y, and z combinations.
B. The probability of having x, y, and z all even is .
C. The probability of having x, y, and z be consecutive numbers is .
D. The probability of having x = 4 is .
E. Possible values of x range from ? to ?. If k is an integer such that ? k ?, the probability that x = k is . The expected value of x is .