Exploring Conditional Probability Concepts

What is the total number of students discussed in the first example?

• 100 students

• 50 students

• 40 students

• 30 students

If a student is known to be taking algebra, what is the probability they are also taking biology?

• 20%

• 50%

• 40%

• 30%

What does the intersection of sets A and B represent in the context of the first example?

• Students taking both subjects

• Students taking only biology

• Students not taking any subjects

• Students taking only algebra

What does the bar symbol (|) represent in the notation for conditional probability?

• Total probability

• Probability of union

• Probability of intersection

• Given that

What is the probability of a student taking algebra in the first example?

• 50%

• 40%

• 20%

• 30%

In the context of the first example, what percentage of algebra students also take biology?

• 20%

• 30%

• 40%

• 50%

In the second example, how many students are in the art class?

• 30 students

• 40 students

• 50 students

• 20 students

What is the probability of a student being in both the art and botany classes in the second example?

• 12%

• 30%

• 40%

• 50%

How is the probability of a student being in both classes calculated for independent events?

• Subtraction of probabilities

• Addition of probabilities

• Multiplication of probabilities

• Division of probabilities

What is the probability of a student being in the botany class given they are in the art class?

• 50%

• 30%

• 12%

• 40%