1) 24 identical balls of two different colors are placed into two bags. Bag A contains 6 blue and 6 green balls and Bag B contains 3 blue and 9 green balls. One ball is taken out from each bag. Find the probability that both balls are of the
2) The library records that 90% of the borrowed books were returned on time while 7% were returned late and the rest not returned at all. 5% of the books returned on time were torn while only 2% of those returned late were torn. Find the probability thata book was returned in good condition.
3)Tom and Henry meet to have a game of chess. It is known that when Tom has the first move in the game, the probability of Tom winning the chess game is 0.4 and the probability of Henry winning that game is 0.1. When Henry has the first move in a game, the probability of Henry winning that game is 0.3 and the probability of Tom winning that game is 0.2. A draw occurs when neither of the players wins. Given that Tom and Henry toss a fair coin to decide who has the first move in the game, find the probability of the game ending in a draw.
4)The probability that it rains is 0.3. On a rainy day, the probability that the bus is late is 0.25. On a sunny day, the probability that the bus is on time is 0.95. Given that the bus arrives on time, find the probability that it is a rainy day.