Among a dozen eggs, three are rotten. A cookie recipe calls for two eggs; they'll be selected randomly from that dozen. Which plan could be used to simulate the number of rotten eggs that might be chosen?
I. Let 0, 1, and 2 represent the rotten eggs, and 3, 4, …, 11 the good eggs. Generate two random Numbers 0-11, ignoring repeats.
II. Randomly generate a 0, 1, or 2 to represent the number of rotten eggs you get.
III. Since 25% of the eggs are rotten, let 0 = rotten and 1, 2, 3 = good. Generate two random v numbers 0-3 and see how may 0's you get.
A) I or III only
B) III only
C) II only
D) I, II, or III
E) I only

Question

Quizplus · Accepted Answer

Option I accurately simulates the selection of eggs by representing each egg as a unique number and selecting two without replacement, which mirrors the real-life scenario of choosing two eggs from a dozen with three being rotten. Option II does not account for the selection process and the changing probabilities after the first egg is chosen. Option III inaccurately represents the probability of selecting a rotten egg, as it simplifies the scenario to a 25% chance for each egg without considering the actual selection process from a dozen eggs.

Among a Dozen Eggs, Three Are Rotten