Asked by Danielle Augustus on May 31, 2024
Verified
All the outcomes (simple events) contained in one or the other of two random events, or possibly in both, make up:
A) the events of an experiment
B) the intersection of two events
C) the probability space of an experiment
D) the union of two events
E) the complement of the other event
Union
In mathematics, especially in set theory, the union of a collection of sets is the set that contains all elements that are a member of any set within the collection.
Random Events
Outcomes or occurrences that cannot be predicted with certainty due to the random nature of the underlying process.
Probability Space
The mathematical framework for probability in which a sample space, together with a probability measure, models the outcome of a random experiment.
- Explain the ideas surrounding probability spaces and sample spaces within the framework of stochastic experiments.
Verified Answer
CP
Christa PavlovskyJun 02, 2024
Final Answer :
D
Explanation :
The union of two events refers to all the outcomes in either one or both of the events. For example, if one event is rolling an even number on a die and the other event is rolling a number greater than 3, the union of these two events would include rolling a 2, 4, 5, or 6. Therefore, D is the correct answer as it best fits the description provided.
Learning Objectives
- Explain the ideas surrounding probability spaces and sample spaces within the framework of stochastic experiments.