Question

probability
each word or phrase represents a definition or formula you have learned in this session.
drag each example or definition to its corresponding term.

gometric probability
experimental probability
theoretical probability
event
sample space

the set of all possible outcomes for a given set of events
$p(\text{event}) = \frac{\text{number of times event occurs}}{\text{number of trials}}$
$p(a) = \frac{\text{area of target}}{\text{area of entire region}}$
$p(a) = \frac{m}{n}$
any group of outcomes in a situation involving probability

Explanation:

• sample space: By definition, it encompasses all potential results of a probability scenario.
• experimental probability: This formula calculates probability using actual trial data.
• geometric probability: It uses area ratios to measure likelihood in spatial scenarios.
• theoretical probability: This is the classic formula where $m$ is favorable outcomes and $n$ is total outcomes.
• event: A subset of the sample space, representing a specific set of desired outcomes.

Answer:

1. sample space ↔ The set of all possible outcomes for a given set of events
2. experimental probability ↔ $P(\text{event}) = \frac{\text{number of times event occurs}}{\text{number of trials}}$
3. geometric probability ↔ $P(A) = \frac{\text{area of target}}{\text{area of entire region}}$
4. theoretical probability ↔ $P(A) = \frac{m}{n}$
5. event ↔ Any group of outcomes in a situation involving probability