Twenty-four cats are at the SPCA. Twelve of the cats are black, six of the cats have blue eyes, and fifteen of the cats have long hair. There is only one cat that is black with blue eyes and long hair. Two of the cats are black with blue eyes and do not have long hair. Two of the cats have blue eyes and long hair, but are not black. Finally, eight cats have at least two traits. (a) Draw the Venn diagram for the above, and put in all the counts in the proper places. (b) If all of the cats in the SPCA have at least one of the mentioned characteristics, how many cats are black with long hair, but do not have blue eyes? (c) What is the probability that a long haired cat, has blue eyes? P