Which method can simulate the selection of rotten eggs from a dozen when three of them are rotten?

Which method can simulate the selection of rotten eggs from a dozen when three of them are rotten?

• A. Number all eggs from 1 to 12 and draw numbers
• B. Let 0, 1, and 2 represent rotten eggs, and 3 to 11 represent good eggs
• C. List rotten eggs first and select from them
• D. Use a drawing method to select without replacement

Answer: (B)

The correct choice is based on a valid method of simulating the selection of rotten eggs from a dozen when three of them are rotten. In option B, by assigning specific numbers to represent the rotten and good eggs, you create a clear and straightforward simulation. Here, letting 0, 1, and 2 represent the three rotten eggs and numbers 3 through 11 represent the nine good eggs provides a direct method to visualize the selection process. This method ensures that when a random number is drawn, it can easily be interpreted: if 0, 1, or 2 is drawn, it indicates the selection of a rotten egg, while any number from 3 to 11 indicates a good egg. This is a simple and effective representation of the problem because it maintains the correct proportions of rotten to good eggs in the total sample of twelve. In contrast, other methods might introduce complications. For example, numbering the eggs in option A does not provide a clear connection to the state of being rotten or good without additional context or markings. Listing rotten eggs first in option C may not capture the randomness of selection effectively, and using a drawing method without replacement as suggested in option D, while it may seem practical, could complicate the probability if

The correct choice is based on a valid method of simulating the selection of rotten eggs from a dozen when three of them are rotten. In option B, by assigning specific numbers to represent the rotten and good eggs, you create a clear and straightforward simulation. Here, letting 0, 1, and 2 represent the three rotten eggs and numbers 3 through 11 represent the nine good eggs provides a direct method to visualize the selection process.

This method ensures that when a random number is drawn, it can easily be interpreted: if 0, 1, or 2 is drawn, it indicates the selection of a rotten egg, while any number from 3 to 11 indicates a good egg. This is a simple and effective representation of the problem because it maintains the correct proportions of rotten to good eggs in the total sample of twelve.

In contrast, other methods might introduce complications. For example, numbering the eggs in option A does not provide a clear connection to the state of being rotten or good without additional context or markings. Listing rotten eggs first in option C may not capture the randomness of selection effectively, and using a drawing method without replacement as suggested in option D, while it may seem practical, could complicate the probability if