There are 3 rotten eggs in a carton of 10 eggs. If 3 eggs are randomly

selected from the carton in order to make an omelet,

i. What is the probability that the omelet will contain at least 1 rotten

egg?

ii. If it is known that the omelet made contains at least one rotten egg,

what is the probability that it contains 2 rotten eggs?

Please explain the process in details.