APS Practice - Venn Diagrams 12-03-24

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 and differences 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 it mean if two events are independent in probability?

Back

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

Front

What is the probability that a student does not play Rugby if 24 out of 80 students do not play it?

Back

The probability is 24/80.

Front

How do you find the probability of the union of two events?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What is the probability that a student plays Hockey and Rugby but not Football if 5 out of 80 students do?

Back

The probability is 5/80.

Front

What is the probability that a student does not play any of the three sports if 1 out of 80 students does not play any?

Back

The probability is 1/80.

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 non-overlapping areas represent the unique elements of each set.

Front

What is the probability that a student plays Rugby or Hockey if 75 out of 80 students do?

Back

The probability is 75/80.

Front

What is the complement of an event in probability?

Back

The complement of an event A is the event that A does not occur, denoted as A'. The probability of the complement is P(A') = 1 - P(A).