Geometry Honors TNReady Practice 5

Front

What is a Venn Diagram?

Back

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

Front

Define the complement of a set S, denoted S'.

Back

The complement of a set S, denoted S', includes all elements not in S, relative to a universal set.

Front

What is the formula for the area of a circle?

Back

The area A of a circle is given by the formula A = πr², where r is the radius.

Front

How do you calculate the area of a sector of a circle?

Back

The area of a sector is calculated using the formula A = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Front

What is the principle of inclusion-exclusion in set theory?

Back

The principle of inclusion-exclusion is a formula used to calculate the size of the union of multiple sets by including the sizes of the individual sets and excluding the sizes of their intersections.

Front

Define probability. What is the formula for calculating it?

Back

Probability is a measure of the likelihood of an event occurring, calculated as P(E) = Number of favorable outcomes / Total number of outcomes.

Front

What does it mean for two events to be independent?

Back

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

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a random experiment.

Front

Explain the concept of conditional probability. How is it denoted?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

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

Back

The probability of the union of two events A and B is given by P(A ∪ B) = P(A) + P(B) - P(A ∩ B).