Vikram has a bucket of three different racquetballs, one blue, one black, and one red. He wants to test each ball to see how well they bounce. He reaches into the bucket and removes one ball without looking. He hits the ball against the wall, catches it, and then drops it back into the bucket. He repeats this process twice more, each time choosing a ball without looking. Part A:

What is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?



Part B:

If Vikram does not drop the balls back into the bucket after he hits them, what is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?