Warm Up: Venn diagrams and set notation

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, often using overlapping circles to show common elements.

Front

Define set notation.

Back

Set notation is a mathematical language used to describe sets, including elements and operations such as union, intersection, and complement.

Front

What does the symbol \( \cap \) represent in set theory?

Back

The symbol \( \cap \) represents the intersection of two sets, meaning the elements that are common to both sets.

Front

What does the symbol \( \cup \) represent in set theory?

Back

The symbol \( \cup \) represents the union of two sets, meaning all elements that are in either set.

Front

What is the complement of a set?

Back

The complement of a set A, denoted as A', includes all elements not in A.

Front

How do you find the number of elements in the union of two sets?

Back

To find the number of elements in the union of two sets A and B, use the formula: \( |A \cup B| = |A| + |B| - |A \cap B| \).

Front

What is the probability of an event?

Back

The probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

How do you calculate the probability of picking an element from a set?

Back

To calculate the probability of picking an element from a set, divide the number of favorable outcomes by the total number of outcomes.

Front

What is the formula for finding the probability of the intersection of two events?

Back

The probability of the intersection of two events A and B is given by: \( P(A \cap B) = \frac{|A \cap B|}{|U|} \), where U is the universal set.

Front

If there are 745 total students, and 375 are athletes, what is the probability of picking an athlete?

Back

The probability of picking an athlete is \( \frac{375}{745} \).