Set Notation & Venn Diagrams

Front

What is set notation?

Back

Set notation is a mathematical language used to describe collections of objects, called sets. It uses symbols like { } to denote sets and operations like ∪ (union), ∩ (intersection), and ' (complement).

Front

Define union of sets.

Back

The union of two sets A and B, denoted as A ∪ B, is the set of elements that are in A, in B, or in both.

Front

Define intersection of sets.

Back

The intersection of two sets A and B, denoted as A ∩ B, is the set of elements that are common to both A and B.

Front

What is the complement of a set?

Back

The complement of a set A, denoted as A', is the set of all elements not in A, relative to a universal set.

Front

How do you represent an empty set?

Back

The empty set is represented by the symbol ∅ or by using set notation as {}.

Front

What does a Venn diagram represent?

Back

A Venn diagram visually represents the relationships between different sets, showing their intersections, unions, and complements.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the formula for the probability of the complement of an event?

Back

The probability of the complement of an event A is given by P(A') = 1 - P(A).

Front

If C = {20, 30, 40} and D = {20, 40}, what is C ∩ D?

Back

C ∩ D = {20, 40}.

Front

If a student is chosen at random from a group of 29 students, how do you find the probability that the student is not in Chemistry?

Back

Count the number of students not in Chemistry and divide by the total number of students.