Probability & Venn Diagrams

Front

What is the definition of Probability?

Back

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

Front

What does a Venn Diagram represent?

Back

A Venn Diagram is a visual representation of the relationships between different sets, showing how they overlap and interact.

Front

What is the complement of a set A?

Back

The complement of a set A consists of all the elements in the universal set that are not in A.

Front

What does the intersection of two sets A and B represent?

Back

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

Front

What does the union of two sets A and B represent?

Back

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

Front

What is the range of probability values?

Back

Probability values range from 0 to 1.

Front

What does the shaded region in a Venn Diagram typically represent?

Back

The shaded region in a Venn Diagram represents the elements that satisfy the condition specified, such as 'A and B' or 'Not A'.

Front

How do you find the complement of a set A given a universal set?

Back

To find the complement of a set A, list all elements in the universal set that are not in A.

Front

What is the difference between 'and' and 'or' in probability?

Back

'And' refers to the intersection of events (both must occur), while 'or' refers to the union of events (at least one must occur).

Front

What is an example of a real-world application of probability?

Back

An example is predicting weather conditions, such as a 70% chance of rain.