Question

select the correct choice that completes the sentences in parts (a) through (c).
a) the probability of an event that cannot occur is 0.
b) the probability of an event that must occur is

Explanation:

Step1: Recall probability range

The probability of an event \(E\) is in the range \(0\leq P(E)\leq1\).

Step2: Analyze certain - to - occur event

An event that must occur is a certain event. By the definition of probability, for a certain event \(E\), if we consider the formula \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\), when the event is certain, the number of favorable outcomes is equal to the total number of outcomes. So \(P(E) = 1\).

Answer:

1