1. Ten balls are in a container. Two are white, and the rest are black. Two balss are randomly drawn without replacement from the container. What is the probability that...

a. the first is white, the second is black

b. one is white, and the other black

c. both are black

2. Refer to the container in the previous question, and call it container A. Another container called conatiner b has 3 white balls and 5 black balls.

a. Randomly draw one ball from each container. What is the probability that the ball from conatiner A is black, while that from B is white?

b. Randomly draw one ball from each container. What is the probability that the ball from conatiner A is white, while than from B is black?

c. Randomly draw one ball from each container. What is the probability that the two balls are of different colors?

d. Randomly draw one ball from each container. What is the probability that the two balls are of the same color?

e. Randomly draw one ball from container A, transfer it unseen to container B. What is the probability that this ball is black?

f. Randomly draw one ball from container B, transfer it unseen to container A, then randomly draw one ball from container A. What is the probability that this ball is white?

NOTE:SHOW YOUR COMPLETE SOLUTION AND DON'T FORGET TO ROUND OFF TO FOUR DECIMAL PLACES