Final answer:
The true probability of a thunderstorm being within 5 miles of a house depends on specific forecasting data, which we don't have, making it impossible to label the given probability as true or false. Also, understanding the probabilities for weather events or comparisons like wind speed requires proper analysis and calculations.
Step-by-step explanation:
Understanding Probability in Relation to Weather Events
When discussing the probability of a thunderstorm being within 5 miles of your house, we are entering the realm of weather prediction and probability. It's crucial to have accurate data from weather forecasting services to determine such probabilities. Without specifics, we cannot assess the true probability. Therefore, the statement that the probability of a thunderstorm is 9/10 without additional context cannot be affirmed as true or false. It's important to note that probability calculations for weather phenomena can involve discrete random variables and the use of historical data and statistical models.
As for the other examples provided, the power of a hurricane-strength wind versus a light breeze can be compared using the kinetic energy formula, which is proportional to the square of the velocity. Answering the question of how much more powerful a 50 m/s wind is compared to a 5 m/s breeze involves comparing the squares of these velocities. Similarly, the possibility of flood events reoccurring can be evaluated using statistical analysis of historical data, and should be based on the likelihood estimated by scientific models rather than a simple yes or no answer.
Errors in probability statements often arise from misunderstandings such as adding probabilities exceeding 100%, which isn't possible since probability values are confined between 0 and 1. Understanding these principles helps in assessing the probabilities of various outcomes in probabilistic events such as weather phenomena, sports, or other activities where random variables are involved.