Question

which of the following values represent impossible events?
a. 1
b. \\( \frac { 1 } { 2 } \\)
c. 0
d. \\( \frac { 1 } { 4 } \\)

Explanation:

Step1: Recall probability range

The probability of an event \(P(E)\) satisfies \(0\leq P(E)\leq1\).

Step2: Analyze each option

• Option a: \(P = 1\) represents a certain event.
• Option b: \(P=\frac{1}{2}=0.5\) is a valid probability value.
• Option c: \(P = 0\) represents an impossible event.
• Option d: \(P=\frac{1}{4}=0.25\) is a valid probability value.

Answer:

C. 0