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?
How many blue eggs have 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%
How many purple eggs have 5 pieces of candy? ** Then find the probability he gets a purple egg with 5 pieces of candy the same way: 1/5 * 1/2 = 1/10 = 10%
How many ways are there to get 5 pieces of candy? ** Then add the probabilities of the two possible ways to get 5 pieces of candy to find the total probability: 20% + 10% = 30%
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