Discover new information and insights with the help of IDNLearn.com. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.

Which value cannot represent the probability of an event occurring?

A. 0.01
B. [tex][tex]$\frac{2}{85}$[/tex][/tex]
C. [tex][tex]$62.5 \%$[/tex][/tex]
D. 1.1


Sagot :

To determine which value cannot represent the probability of an event occurring, we need to understand the basic principle that probabilities must be between 0 and 1 inclusive. The probability of an event occurring ranges from 0 (the event will never occur) to 1 (the event will certainly occur).

Let's evaluate each given value step by step:

1. 0.01: This value represents a probability of 1%. Since 0.01 lies between 0 and 1, it is a valid probability.

2. [tex]$\frac{2}{85}$[/tex]: This fraction equals approximately 0.0235. Since 0.0235 is between 0 and 1, it is a valid probability.

3. [tex]$62.5\%$[/tex]: This percentage converts to a decimal by dividing by 100, giving 0.625. Since 0.625 is between 0 and 1, it is a valid probability.

4. 1.1: This value is greater than 1. Probabilities cannot exceed 1, so 1.1 is not a valid probability.

Therefore, the value that cannot represent the probability of an event occurring is:
[tex]\[ 1.1 \][/tex]