Final answer:
The question leads to a discussion on the principles of probability in Mathematics, specifically targeted at High School level students. It involves calculating the likelihood of events related to selecting meat pieces of various weights and types. Understanding and applying the rules of probability are necessary to find the answers to the problems mentioned.
Step-by-step explanation:
The question appears to relate to probability and statistics, which fall under the Mathematics subject typically taught at a High School level. The provided information covers various probabilities associated with selecting pieces of meat of certain weights and types. For example, the probability of selecting a 20 piece boneless wing deals with the likelihood of different outcomes, such as the chance of getting a chicken breast or a pork chop of a specific weight. This requires understanding the basic principles of probability, which is the measure of the likelihood that an event will occur.
For instance, calculating P(you will get a piece of meat that is not 21 oz.) would involve determining the proportion of all available meat pieces that are not 21 ounces in weight. This could potentially include both chicken and pork options available, excluding the 21-ounce portions.
When looking at P(you will get a piece of chicken that is not 21 oz.), this probability is more specific, focusing solely on chicken pieces that do not weigh 21 ounces. As for the probability P(you will not get a chicken breast and you will get an 18-oz. pork chop), this is a compound probability that involves not selecting a chicken breast while simultaneously selecting an 18-ounce pork chop. Similarly, P(you will not get a chicken breast and you will not get a pork chop) involves calculating the probability of not selecting either of those two types of meat.
To solve problems like these, one would typically need to know the total number of meat pieces available, the breakdown of their weights, and the distribution between types of meat. Using these values, one could apply the rules of probability to find the required likelihoods.