The probability expressed as the percentage for the particular occurrence can never be:
A. less than 100
B. less than 0
C. greater than 1
D. anything but the whole number
Answer (2)
In probability theory, an event's likelihood is often expressed as a percentage to make it more relatable and understandable. Probabilities can be expressed as fractions, decimals, or percentages, all describing the same concept: how likely an event is to occur.
Let's analyze each of the given options to understand which one is not possible when expressing probability as a percentage:
Less than 100 : Probabilities expressed as percentages can indeed be less than 100 since 100% indicates the certainty of an event occurring. For example, a probability of 0.5 (or 50%) suggests that the event has a 50% chance of occurring.
Less than 0 : It is impossible for a probability to be less than 0%. Probabilities measure the likelihood of an event and cannot be negative. The minimum probability is 0%, which implies that the event will certainly not occur.
Greater than 1 : In percentage terms, anything greater than 100% is not possible. 100% is equivalent to 1 in probability terms (where probability is between 0 and 1, inclusive).
Anything but the whole number : Probabilities as percentages can be whole numbers or decimals. For instance, a probability of 0.25 would be expressed as 25% and is a whole number, but 12.5% is also a valid representation.
Thus, the correct option is (B) less than 0 , because probabilities expressed as a percentage can never be negative.
The correct answer is (B) less than 0, as probabilities expressed as percentages cannot be negative. They can range from 0% to 100%. Any probability below 0% is not valid in probability theory.
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