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 value that cannot represent the probability of an event occurring is D) 3/2.
Explanation:
Probability values range from 0 to 1, where:
- 0 represents the event is impossible (it will not occur).
- 1 represents the event is certain (it will definitely occur).
Any probability value outside this range is invalid because probabilities greater than 1 or less than 0 do not make sense in the context of likelihood. Let’s look at the given options: - A) 1/100: This value is a valid probability. It represents a very small chance (0.01 or 1%) of an event occurring. Since 0 ≤ 1/100 ≤ 1, this is a valid probability.
- B) 0.29: This value is also valid. It represents a 29% chance of an event occurring. Since 0 ≤ 0.29 ≤ 1, it fits within the valid probability range.
- C) 85%: This is a valid probability. 85% is the same as 0.85, which is within the valid range for probabilities (0 ≤ 0.85 ≤ 1).
- D) 3/2: This value is not valid because 3/2 = 1.5, which is greater than 1. Since probabilities cannot exceed 1, 1.5 is not a valid probability. An event with a probability greater than 1 would imply the event is “more than certain,” which is not possible.
In conclusion, D) 3/2 cannot represent a valid probability because it is greater than 1, and probabilities must always lie between 0 and 1, inclusive.
