Final answer:
The probability of an event happening between 0 and 12 for a continuous probability function with f(x) = 12 is 144.
Step-by-step explanation:
For a continuous probability function, the probability of an event happening between two values is equal to the area between the function and the x-axis within that interval.
In this case, we have f(x) = 12, which is a constant function. The area under a constant function within any interval is equal to the length of the interval multiplied by the value of the function.
Since the function is restricted to 0 ≤ x ≤ 12, the probability of the event happening between 0 and 12 is P(0 < x < 12) = 12 * 12 = 144.