Final answer:
The probability when selecting 100 homes at random depends on the context of the event or characteristic being measured. Without full context, it is difficult to determine whether the probability would be higher or lower. In probability and statistics, factors like distribution type, sample size, and sampling methods profoundly influence probability outcomes.
Step-by-step explanation:
The question appears to be incomplete, as it does not provide full context or details for what probability is being referred to. However, one can deduce that it might be related to a probability concept in mathematics. If you select 100 homes at random, the probability of a particular outcome will depend on what we are trying to measure. The probability might be higher or lower based on multiple factors.
For example, in the context of geometric distribution, the probability of success remains constant, but the number of failures before the first success can vary. In another scenario such as sampling proportions or means, the probability of accurately reflecting the population parameters could increase with a larger sample size due to the Law of Large Numbers. Without more information, it is challenging to provide a definitive answer on whether the probability would be higher or lower when selecting 100 homes.
In the example of a proportion test between two years, the probability of owning a home in those years is compared using a statistical test. The random variable in this context is the proportion of homes owned by families. When discussing random sampling or random selection as with the survey of 511 homes for earthquake preparedness, each individual or instance has an equal chance of being selected, which influences the probability of the sample accurately representing the population.