Carton of 10 Eggs, with 2 Bad ones. So we know the makeup of the population. If we select 3 eggs at random. What is the probability we have selected both bad eggs? and What is the probability we have selected at least one bad egg?. Ive used tree diagrams and figured out the 1st question to be 1/15. Im pretty sure there is more "numeric" way of calculating this as i find the tree process very tedious. So if any one could tell me how to do this using some formulas would be greatly appreciated.