Geometry Honors TNReady Flashcard 5

Front

What is the formula for the area of a sector in a circle?

Back

The area of a sector is given by the formula: \( A = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the angle in degrees and \( r \) is the radius.

Front

Define probability in the context of a simple event.

Back

Probability is a measure of the likelihood that a particular event will occur, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

What is the union of two sets A and B?

Back

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

Front

How do you calculate the area of a circle?

Back

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

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

What is the probability of an event that is impossible?

Back

The probability of an event that is impossible is 0.

Front

How do you find the area of a sector given the radius and angle?

Back

To find the area of a sector, use the formula: \( A = \frac{\theta}{360} \times \pi r^2 \), substituting the values for \( \theta \) and \( r \).

Front

What is the formula for the probability of an event?

Back

The formula for the probability of an event is: \( P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time; the occurrence of one event excludes the possibility of the other.

Front

How do you calculate the probability of landing on a number greater than or equal to 6 when rolling a die?

Back

When rolling a standard die, the numbers greater than or equal to 6 are 6. The probability is \( P = \frac{1}{6} \).