A cheese can be classified as either raw-milk or pasteurized. Suppose that 81% of cheeses are classified as pasteurized. (a) Two cheeses are chosen at random. What is the probability that both cheeses are pasteurized? (b) Five cheeses are chosen at random. What is the probability that all five cheeses are pasteurized? (c) What is the probability that at least one of five randomly selected cheeses is raw-milk? Would it be unusual that at least one of five randomly selected ch raw-milk? (a) Two cheeses are chosen at random. What is the probability that both cheeses are pasteurized? The probability is (Round to four decimal places as needed.) (b) Five cheeses are chosen at random. What is the probability that all five cheeses are pasteurized? The probability is U (Round to four decimal places as needed.) d cheeses is raw-milk?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
![**Cheese Classification Probability**
A cheese can be classified as either raw-milk or pasteurized. Suppose that 81% of cheeses are classified as pasteurized.
**Question (a):**
Two cheeses are chosen at random. What is the probability that both cheeses are pasteurized?
*The probability is [ ]*
*(Round to four decimal places as needed.)*
**Question (b):**
Five cheeses are chosen at random. What is the probability that all five cheeses are pasteurized?
*The probability is [ ]*
*(Round to four decimal places as needed.)*
**Question (c):**
What is the probability that at least one of five randomly selected cheeses is raw-milk? Would it be unusual that at least one of five randomly selected cheeses is raw-milk?
*The probability is [ ]*
*(Round to four decimal places as needed.)*
**Instructions:**
Please enter the answers in each of the answer boxes provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26e9d1e4-e751-46db-8f1e-f1957aec9903%2F768cb8b5-9675-46f1-b693-c13c82ed16fb%2F7a3zta8_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
