Give the step-by-step reasoning process and then the final answer. 4/5 of the Easter eggs are blue and 1/5 are purple. Half the purple eggs have five pieces of candy each, and 1/4 of the blue eggs do. The rest of the eggs only have one piece of candy. If Jerry opens one egg at random, what is the percentage chance he'll get 5 pieces of candy?
First find the probability Jerry gets a blue egg with 5 pieces of candy by multiplying the independent probabilities: 4 / 5 * 1 / 4 = 1 / 5 = 20%. Then find the probability he gets a purple egg with 5 pieces of candy the same way: 1 / 5 * 1 / 2 = 1 / 10 = 10%. Then add the probabilities of the two possible ways to get 5 pieces of candy to find the total probability: 20% + 10% = 30%.
The final answer: 30.