2. set A, B, C represent three random events, the event represents the following arithmetic relationships A, B, C of.
(1) A, B, C occur;
(2) A, B, C do not occur;
(3) A occurs, B and C does not occur;
(4) A, B, C in at least one occurrence;
(5) A, B, C occurs in exactly 2;
(6) A, B, C not more than one occurrence.
5. From 10 similar products (including eight genuine, two defective) any extracted three, find:
(1) the probability withdrawn three products are genuine;
(2) at least one probability is defective;
(3) the probability of a defective only.
8. The set A, B, C three events, and P (A) = P (B) = P (C) = 1/4, P (AB) = P (BC) = 0, P (AC) = 1 / 8, find a, B, C have at least a probability of occurrence.
10. The pocket 10 balls, are labeled 1 to 10. The number which is not now take any replacement, 3, note the number of balls extracted, find:
(1) The minimum number of probability 5;
(2) The maximum number of probability 5.
12.12. A, B two ships sail that can not berth 2 ship docks, their time to go into the day and night are equally likely, if the parking time A ship 1 hour, Berth B ship is 2 hours, ask any of them do not need to wait for the probability of a boat dock vacated.
14. Known P (A) = 1/4, P (B | A) = 1/3, P (A | B) = 1/2, find P (A ∪ B).
24. The events A and B are independent, P (A) = 0. 4, P (A ∪ B) = 0. 7, find P (B).
33. A, B, C 3 athletes 25 yards away from the probability goal kick goals were 0.5, 0.7, 0.6, 3 is provided at each of kicking a ball 25 yards from the goal, provided each one goal or not independent of each other, seeking:
(1) the probability of exactly one person to score;
(2) the probability of exactly 2 goals;
(3) probability that at least one person to score.
