Question

determine whether the following statement is true or false. if the statement is false, make the necessary change(s) to produce a true statement. if an event cannot occur, its probability is - 1. choose the correct answer below. a. the statement is false. the true statement is \if an event cannot occur, its probability is 0\ b. the statement is false. the true statement is \if an event cannot occur, its probability is 1\ c. the statement is true because the probability is - 1 if an event cannot occur. d. the statement is false. the true statement is \if an event cannot occur, its probability cannot be found\

Explanation:

Probability of an event \(E\) is calculated as \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). When an event cannot occur, the number of favorable outcomes is \(0\). So, \(P(E)=\frac{0}{\text{Total number of outcomes}} = 0\). Probability values range from \(0\) (impossible event) to \(1\) (certain event), and cannot be negative.

Answer:

A. The statement is false. The true statement is "If an event cannot occur, its probability is 0"