Probabilities help
A box of bolts contntains 8 thick bolts, 5 medium bolts, and 3 thin bolts. A box of nuts contains 6 that fit the thick bolts, 4 that fit the medium bolts, and 2 that fit the thin bolt. One bolt and one nut are chosen at random.
QUESTION: What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
Not sure where to begin. Can I just determine the probability of each bolt to be chosen, and the probability of each nut to be chosen, and multiply the corresponding probabilities together?