Geometry Honors TNReady Practice 5

Front

What is the definition of conditional probability?

Back

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

Front

What does a Venn Diagram represent in set theory?

Back

A Venn Diagram visually represents the relationships between different sets, showing how they overlap and the elements they share.

Front

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

Back

The area of a sector can be calculated using the formula: \( \text{Area} = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the angle in degrees and \( r \) is the radius.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula: \( A = \pi r^2 \), where \( r \) is the radius of the circle.

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

What is the complement of a set?

Back

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

Front

How do you find the union of two sets?

Back

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

Front

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

Back

The probability of the union of two events A and B is given by: \( P(A \cup B) = P(A) + P(B) - P(A \cap B) \).

Front

What is a sample space in probability?

Back

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

Front

What is the difference between independent and dependent events?

Back

Independent events are events where the occurrence of one does not affect the occurrence of the other. Dependent events are events where the occurrence of one affects the probability of the other.