Probability Venn Diagrams and Two Way Tables

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

Define the term 'probability'.

Back

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

Front

What does it mean for events to be independent in probability?

Back

Two events are independent if the occurrence of one does not affect the probability of the other occurring.

Front

How do you calculate the probability of an event?

Back

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

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables.

Front

How do you find the total number of students surveyed using a two-way table?

Back

Add the frequencies of all categories in the two-way table to find the total number of students surveyed.

Front

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

Back

P(A or B) = P(A) + P(B) - P(A and B), where P(A and B) is the probability that both events occur.

Front

What does 'mutually exclusive' mean in probability?

Back

Mutually exclusive events cannot occur at the same time; the occurrence of one event excludes the possibility of the other.

Front

How do you interpret the results of a Venn diagram?

Back

The areas of overlap in a Venn diagram represent the intersection of sets, while the individual areas represent unique elements of each set.

Front

What is the probability of selecting a student who has brown hair or wears glasses?

Back

To find this probability, use the formula for the union of two events: P(B or G) = P(B) + P(G) - P(B and G).