Answer :
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]
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]
