The relation between probability (P) and recurrence interval (T) is given by A. PT = 1 B. PT2 = 1 C. $$\frac{{\text{P}}}{{\text{T}}} = 1$$ D. $$\frac{{\text{P}}}{{{{\text{T}}^2}}} = 1$$

The correct answer is $\frac{{\text{P}}}{{\text{T}}} = 1$.

The recurrence interval is the average time between events. The probability is the likelihood of an event occurring. The relation between probability and recurrence interval is given by the following equation:

$$\frac{{\text{P}}}{{\text{T}}} = 1$$

This equation states that the probability of an event occurring is equal to the reciprocal of the recurrence interval. In other words, the more likely an event is to occur, the shorter the time between events will be.

Option A is incorrect because it states that the product of probability and recurrence interval is equal to 1. This is not true, as the probability of an event occurring can be any value between 0 and 1, and the recurrence interval can be any positive value.

Option B is incorrect because it states that the square of the product of probability and recurrence interval is equal to 1. This is also not true, as the square of the probability of an event occurring can be any value between 0 and 1, and the square of the recurrence interval can be any positive value.

Option C is incorrect because it states that the probability divided by the recurrence interval is equal to 1. This is the correct equation, as it states that the probability of an event occurring is equal to the reciprocal