Final answer:
We use probability to assess the remarkableness of events. Simple predictions like tossing a coin can be evaluated using theoretical probability, while more complex events, like daily habits or marriage, may involve multifaceted factors influencing their likelihood.
Step-by-step explanation:
We compare the remarkableness of events through probability, which is the likelihood of an event happening. For instance, predicting a number from 1 to 10 is not very remarkable because the probability of getting it right by chance is 1 in 10. In contrast, predicting a number from 1 to 50,000 has a significantly lower probability (1 in 50,000), making it much more remarkable if someone manages to do it correctly just by guessing.
Probability can be both empirical and theoretical. Empirical probability is based on the actual results of an experiment, like Karl Pearson's coin tosses that showed a frequency of heads that was close to the theoretical probability of 0.5, despite the randomness of short-term outcomes. Theoretical probability, on the other hand, anticipates results based on known chances, such as knowing that a fair coin has a 50% chance of landing heads up.
When it comes to daily events like waking up at 7:30 AM, the probability is influenced by factors such as a person's habits and alarm settings. The probability of marrying a woman of your liking can't be coerced into a simple mathematical probability, as it is affected by an intricate web of personal choices, social interactions, and chance. Therefore, probability helps us evaluate simple events, but real-life scenarios often require a blend of probability and other analytical methods.