What is the long-run relative frequency of a loss?

What is the long-run relative frequency of a loss?

• A. Probability
• B. Risk
• C. Likelihood
• D. Chance of loss

Answer: (D)

The long-run relative frequency of a loss is its probability. When you repeat the same event many times, the fraction of trials that result in a loss converges to the probability of a loss (law of large numbers). Saying the event has a certain probability means that, in the long run, you’d expect losses to occur at that rate. The phrase “chance of loss” expresses the same idea in everyday language, so it matches this concept well. Risk mixes probability with how severe losses could be, so it isn’t just the frequency of losses by itself. Likelihood is another term for probability in some contexts, but in this insurance/risk setting, the precise idea is the probability of the loss, with “chance of loss” serving as a natural synonym.

The long-run relative frequency of a loss is its probability. When you repeat the same event many times, the fraction of trials that result in a loss converges to the probability of a loss (law of large numbers). Saying the event has a certain probability means that, in the long run, you’d expect losses to occur at that rate. The phrase “chance of loss” expresses the same idea in everyday language, so it matches this concept well.

Risk mixes probability with how severe losses could be, so it isn’t just the frequency of losses by itself. Likelihood is another term for probability in some contexts, but in this insurance/risk setting, the precise idea is the probability of the loss, with “chance of loss” serving as a natural synonym.