which value cannot represent the probability of an event occurring? 1. 0.01 2. 2/85 3. 62.5% 4. 1.1
The Correct Answer and Explanation is:
The value that cannot represent the probability of an event occurring is 1.1.
Explanation:
Probabilities are always values that range from 0 to 1, inclusive. This means that the probability of an event occurring can never be less than 0 or greater than 1. A probability of 0 means the event is impossible, while a probability of 1 means the event is certain to occur. Any number outside of this range does not make sense in the context of probability.
Let’s analyze each of the options:
- 0.01: This is a valid probability. It represents a 1% chance that the event will occur. Since it falls between 0 and 1, it’s a legitimate probability.
- 2/85: This fraction is equal to approximately 0.0235, which is also a valid probability. It represents a probability of around 2.35%. Again, this value is between 0 and 1, so it’s acceptable.
- 62.5%: This is equivalent to 0.625 when expressed as a decimal. Since 0.625 is within the valid range for probabilities, it’s a valid value.
- 1.1: This value is greater than 1, and as mentioned earlier, probabilities cannot exceed 1. Therefore, 1.1 is not a valid probability.
In conclusion, while probabilities can be expressed in decimal form, percentages, or fractions, they always have to be within the range of 0 to 1. The value 1.1 violates this rule and cannot represent a valid probability.
