SUMMARY
The probability of two or more events occurring simultaneously, such as two arrows hitting a target at the exact same time, is definitively zero when considering continuous distributions. This is due to the infinite number of possible time frames, which results in an infinitesimal probability of simultaneous occurrences. The discussion emphasizes that while events may be theoretically possible, their probability can still be zero, as illustrated by the example of weights in a continuous distribution.
PREREQUISITES
- Understanding of continuous probability distributions
- Familiarity with the concept of probability zero
- Knowledge of simultaneous events in probability theory
- Basic grasp of statistical modeling
NEXT STEPS
- Explore the implications of continuous distributions in probability theory
- Research the concept of probability zero in more detail
- Study simultaneous events and their probabilities in statistical models
- Learn about the differences between discrete and continuous probability distributions
USEFUL FOR
Mathematicians, statisticians, and anyone interested in understanding the nuances of probability theory, particularly in relation to continuous distributions and simultaneous events.