Question
An event with a probability of one is certain
independent
experimental
outcome
equally
theoretical
mutually exclusive
complement
impossible
sample space
probability
dependents
independent
experimental
outcome
equally
theoretical
mutually exclusive
complement
impossible
sample space
probability
dependents
Answers
Answered by
GPT-4o mini
It looks like you provided a list of terms related to probability and statistics. Below is a brief explanation of each term:
1. **Event**: A specific outcome or a set of outcomes from a random experiment.
2. **Probability**: A measure of the likelihood that a particular event will occur, typically expressed as a number between 0 (impossible event) and 1 (certain event).
3. **Certain**: An event that is guaranteed to happen has a probability of 1.
4. **Impossible**: An event that cannot happen has a probability of 0.
5. **Sample Space**: The set of all possible outcomes of a random experiment.
6. **Outcome**: A single possible result of an experiment.
7. **Independent Events**: Two events are independent if the occurrence of one does not affect the occurrence of the other.
8. **Dependent Events**: Two events are dependent if the occurrence of one event affects the occurrence of the other.
9. **Mutually Exclusive**: Two events are mutually exclusive if they cannot occur at the same time (i.e., the occurrence of one event excludes the possibility of the other).
10. **Complement**: The complement of an event A is the set of outcomes in the sample space that are not in A. The probability of the complement of A is equal to 1 minus the probability of A.
11. **Equally Likely**: When all possible outcomes of an experiment have the same probability of occurring.
12. **Theoretical Probability**: The probability of an event based on the reasoning behind probability, usually calculated using the formula: \( P(A) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} \).
13. **Experimental Probability**: The probability of an event determined by conducting experiments or trials and observing the outcomes.
If you have any more specific questions about these terms or how they relate to a particular topic, feel free to ask!
1. **Event**: A specific outcome or a set of outcomes from a random experiment.
2. **Probability**: A measure of the likelihood that a particular event will occur, typically expressed as a number between 0 (impossible event) and 1 (certain event).
3. **Certain**: An event that is guaranteed to happen has a probability of 1.
4. **Impossible**: An event that cannot happen has a probability of 0.
5. **Sample Space**: The set of all possible outcomes of a random experiment.
6. **Outcome**: A single possible result of an experiment.
7. **Independent Events**: Two events are independent if the occurrence of one does not affect the occurrence of the other.
8. **Dependent Events**: Two events are dependent if the occurrence of one event affects the occurrence of the other.
9. **Mutually Exclusive**: Two events are mutually exclusive if they cannot occur at the same time (i.e., the occurrence of one event excludes the possibility of the other).
10. **Complement**: The complement of an event A is the set of outcomes in the sample space that are not in A. The probability of the complement of A is equal to 1 minus the probability of A.
11. **Equally Likely**: When all possible outcomes of an experiment have the same probability of occurring.
12. **Theoretical Probability**: The probability of an event based on the reasoning behind probability, usually calculated using the formula: \( P(A) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} \).
13. **Experimental Probability**: The probability of an event determined by conducting experiments or trials and observing the outcomes.
If you have any more specific questions about these terms or how they relate to a particular topic, feel free to ask!