Question

Which of the following cannot be the probability of an event?

• A. \(\frac{1}{3}\)
• B. 0.3
• C. 33%
• D. \(\frac{7}{6}\)

Answer 1

The Correct Option is D

The probability of an event must always be a number between 0 and 1, inclusive. This means that: \[ 0 \leq \text{Probability of an event} \leq 1. \] Now, let's evaluate each option:
\( \frac{1}{3} \) is a valid probability because it lies between 0 and 1.
0.3 is a valid probability because it is between 0 and 1.
33% is equivalent to \( \frac{33}{100} \), which is a valid probability because it lies between 0 and 1.
\( \frac{7}{6} \) is greater than 1, which is not a valid probability.

The correct option is (D): \(\frac{7}{6}\)