Which value cannot represent the probability of an event occurring? A) 1/100 B) 0.29 C) 85% D) 3/2 tyyyyyy
The Correct Answer and Explanation is:
The correct answer is D) 3/2.
Explanation:
A probability value represents the likelihood of an event occurring, and it must lie between 0 and 1, inclusive. This means that the probability of an event must satisfy the condition:
0≤P(Event)≤10 \leq P(\text{Event}) \leq 10≤P(Event)≤1
Where:
- 0 represents an impossible event (it will not occur).
- 1 represents a certain event (it will definitely occur).
- Any value between 0 and 1 represents a possible event, with higher values indicating higher probabilities.
Let’s go through the given options:
- A) 1/100: This is equivalent to 0.01, which is a valid probability value. It lies between 0 and 1, so it can represent the probability of an event occurring.
- B) 0.29: This is a valid probability value because 0.29 is within the acceptable range of 0 and 1.
- C) 85%: 85% is equivalent to 0.85 (as 85% = 85/100 = 0.85). Since 0.85 is between 0 and 1, it is also a valid probability value.
- D) 3/2: This equals 1.5, which is greater than 1. Since probabilities cannot exceed 1, this value is not valid. A probability greater than 1 would imply a likelihood greater than certainty, which is not possible.
In summary, 3/2 is the only value that cannot represent a probability because it is greater than 1, which violates the fundamental rule that probabilities must lie between 0 and 1.
