Probability & Venn Diagrams

Front

What is Probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, often used to illustrate the overlap between them.

Front

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of outcomes).

Front

What does the shaded area in a Venn Diagram represent?

Back

The shaded area represents the elements that belong to the specified set or sets.

Front

What does A ∩ B represent in set theory?

Back

A ∩ B represents the intersection of sets A and B, which includes all elements that are common to both sets.

Front

What does A ∪ B represent in set theory?

Back

A ∪ B represents the union of sets A and B, which includes all elements that are in either set A, set B, or both.

Front

What is the complement of a set A, denoted as A^c?

Back

The complement of set A includes all elements that are not in set A.

Front

If 80 students play sports, and 75 play Rugby or Hockey, what is the probability of randomly selecting a student who plays Rugby or Hockey?

Back

The probability is 75/80.

Front

In a Venn Diagram, if 5 students are in both Chorus and Band, how do you represent this?

Back

You represent this by placing the number 5 in the overlapping section of the Chorus and Band circles.

Front

What does 'Not A' mean in set theory?

Back

'Not A' refers to all elements that are not in set A.