The probability, P, of any event or state of nature occurring is greater than or equal to 0 and less than or equal to 1.

a. True

b. False

a. True

Step-by-step explanation:

The lowest probability of an event happening is 0. You cannot have a negative probability of an event. So yes, the probability, P, of any event or state of nature occurring is greater than or equal to 0.

Likewise, you can not have a probability higher than 100%, that is, 1 decimal. So yes, the probability, P, of any event or state of nature occurring is less than or equal to 1.

So the correct answer is:

a. True