3. A carnival game is set up so that everyone who plays wins a stuffed animal toy as a prize. When I play, there are 10 prizes available: 4 white kittens, 3 white unicorns, 2 rainbow kittens, and 1 rainbow unicorn. The prizes will be drawn at random without replacement. (a) Consider a single play of the game. Are the events \"winning a unicorn\" and \"winning a rainbow prize\" independent? Why or why not? (b) Suppose I play the game twice. What is the conditional probability that I win the rainbow unicorn on the second play, given that I win something else on the first play? What is the probability I win the rainbow unicorn on one of the two plays