A restaurant has four bottles of a certain wine in stock. Unbeknownst to the wine steward, two of these bottles (Bottles 1 and 2) are bad. Suppose that two bot- tles are ordered, and let x be the number of good bottles among these two.
a. One possible experimental outcome is (1,2) (Bottles 1 and 2 are the ones selected) and another is (2,4). List all possible outcomes.
b. Assuming that the two bottles are randomly selected from among the four, what is the probability of each outcome in Part (a)?
c. The value of x for the (1,2) outcome is 0 (neither selected bottle is good), and x = 1 for the outcome (2,4). Determine the x value for each possible out- come. Then use the probabilities in Part (b) to determine the probability distribution of x.