Question

Identifying Probability Values Which of the following are probabilities?

0 3/5 5/3 -0.25 250% 7:3 1 50-50 5:1 0.135 2.017

Short answer

The probability values are 0, $\frac{3}{5}$, 1, and 0.135.

Step-by-step solution

Given information

Numerical values are provided. The possible probability values need to be identified.

Probability

Probabilityis the chance that a particular event will happen or not.

The value for measures ranges from 0 to 1. The value of the probability can never be negative.It is because a favourable number of outcomes can never exceed total and the counts of outcomes cannot be negative.

Identifying probability values

The following numbers are classified whether they can be a probability value or not:

• 0: Probability ranges from 0 to 1 (inclusive). Thus, 0 can be a probability value.

• $\frac{3}{5}$is a proper fraction. Its value lies between 0 and 1. Thus, $\frac{3}{5}$can be a probability value.

• $\frac{5}{3}$is an improper fraction. Its value is greater than 1. Thus, $\frac{5}{3}$cannot be a probability value.

• -0.25 is a negative value. Probability can never be negative. Thus, -0.25 cannot be a probability value.

• $$\begin{gathered} 250\%=\frac{250}{100} \\ =2.5 \end{gathered}$$
  

250% is greater than 1. Thus, it cannot be a probability value.

• $7:3$can be written as $\frac{7}{3}$. As$\frac{7}{3}$ is an improper fraction, its value is greater than 1. Thus, it cannot be a probability value.

• 1: Probability lies between 0 to 1 (inclusive). Thus, 1 can be a probability value.

• $50-50$is not a numeric value that lies between 0 and 1. Thus, cannot be a probability value.

• $5:1$can be written as $\frac{5}{1}$. As$\frac{5}{1}$ is an improper fraction, its value is greater than 1. Thus, it cannot be a probability value.

• 0.135 lies between 0 and 1. Thus, it can be a probability value.

• 2.017 is greater than 1. Thus, it cannot be a probability value.

Therefore, the values 0,$\frac{3}{5}$ , 1, and 0.135 are probabilities.