Which one of the following statements regarding probability is correct? A. Probabilities associated with events such as coin tosses can be developed from theoretical considerations and are unchanging. B. Risk management professionals use theoretical probabilities because they are generally available for and applicable to claim analysis. C. The accuracy of theoretical probabilities depends on the size and representative nature of the samples being studied. D. The probability of an event that is absolutely certain is 0.
A. Probabilities associated with events such as coin tosses can be developed from theoretical considerations and are unchanging.
The correct statement regarding probability is C.
The accuracy of theoretical probabilities depends on the size and representative nature of the samples being studied. Theoretical probabilities are based on mathematical formulas and assumptions that apply to idealized situations, and they may not always reflect reality. Therefore, the probability of an event cannot be accurately predicted without an adequate sample size and representative data.
Option A is incorrect because probabilities associated with events such as coin tosses can be developed from theoretical considerations, but they are not unchanging as they can be affected by various factors such as biases, drifts, and errors.
Option B is incorrect because although risk management professionals do use theoretical probabilities, they also consider empirical data, expert judgement, and other relevant factors to assess and manage risks.
Option D is incorrect because the probability of an event that is absolutely certain is 1, not 0.
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