A company has 2 machines A and B. The following table summarizes the production of 2000 pieces. Total:
Number of defected
pieces
48
Number of non-
defected pieces
1152
1200
Number of pieces
produced by A
Number of pieces
produced by B
Total
24
776
800
72
1928
2000
Three pieces are chosen successively and without replacement.
1. How many possibilities are there for choosing these 3 pieces?
2. Find the probability of the following events:
a. The three pieces are produced by A.
b. At least one piece is produced by A.
C. The three pieces are non-defected produced by B.
d. The first piece is produced by A and the other 2 are produced by B.
e. Only one piece is produced by A.
3. The three pieces are non-defected. What is the probability that they are produced by B?