1. The events A = {3 candidates on Monday rate above 7} and B = {two candidates on Tuesday rate above 7} are disjoint events.
2. If 8 of the 12 candidates on Monday and Tuesday rate above 6, then the probability of a candidate rating above 6 on Wednesday is 8>12.
3. The HR group has monitored the outcome of these interviews for several years. The Law of Large Numbers assures us that HR personnel can use these data to learn the probability of a candidate scoring above 8 during an interview.
4. The probability that the ratings of the six candidates on Monday are {6, 4, 3, 8, 11, 8} is zero.
5. Define the events A = {6 out of the 12 candidates rate 8 or better}, B = {3 out of the 6 candidates on Monday rate 8 or better}, and C = {3 out of the 6 candidates on Tuesday rate 8 or better}. Independence implies that P (A) = P (B) × P(C).
6. Define the events A = {first candidate is rated 8, 9, or 10} and B = {first candidate is rated 5, 6, or 7}. Then P (A or B) = P (A) + P(B).