Question: A game at a Halloween Party consists of randomly selecting an egg out of large basket that has a cloth secured over the top with a slit to enable you to insert your hand to select an egg without seeing the eggs. The 50 hardboiled eggs are identical in shape but are dyed as follows: 7 eggs are orange, 10 are black, 6 are red, 4 are white, 13 are green, 8 are purple, and 2 are yellow. Assuming the eggs are well mixed in the basket, find the following probabilities first stating your answer as an unreduced fraction and then state your final answer as a reduced fraction, or as a decimal rounded to the nearest thousandth, or as a percent rounded to the nearest tenth of a percent.

a. What is the probability that if you randomly select an egg that it is not purple?

b. What is the probability that if you randomly select an egg that it is blue?

c. What is the probability that if you randomly select three eggs in succession without replacement that all three will be orange?