Which one of the following cannot be the probability of an event?̴...
If the probability is in percentage we divide it by 100
So d) option is 0.05.And we know If an event is impossible its probability is zero. Similarly, if an event is certain to occur, its probability is one. The probability of any event lies in between these values. It is called the range of probability and is denoted as 0 ≤ P (E) ≤ 1.And probability more than one means that favourable outcomes are more than total outcomes which is wrong.
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Which one of the following cannot be the probability of an event?̴...
Invalid Probability Value
An event's probability is a measure of the likelihood of that event occurring. It is always represented as a value between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. In this question, we are asked to determine which of the given options cannot be the probability of an event.
Invalid Option: 1.1 (option A)
The value 1.1 is greater than 1, which is outside the valid range for probability. Probability cannot exceed 1 because it represents the maximum likelihood of an event occurring. Any value greater than 1 would imply a higher likelihood than certainty, which is not possible.
Valid Options: 0.1 (option B), 0.9 (option C), 5% (option D)
- Option B: 0.1
A probability value of 0.1 represents a 10% chance of an event occurring. It is a valid probability within the range of 0 to 1.
- Option C: 0.9
A probability value of 0.9 represents a 90% chance of an event occurring. It is also a valid probability within the range of 0 to 1.
- Option D: 5% (0.05)
Probabilities can also be expressed as percentages. In this case, a probability of 5% is equivalent to 0.05. It represents a 5% chance of an event occurring, which is a valid probability within the range of 0 to 1.
Conclusion
In summary, the probability value 1.1 (option A) cannot be the probability of an event because it exceeds the valid range for probabilities, which is between 0 and 1. The other options, 0.1 (option B), 0.9 (option C), and 5% (option D), all fall within this valid range and can represent probabilities.
Which one of the following cannot be the probability of an event?̴...
If the probability is in percentage we divide it by 100
So d) option is 0.05.And we know If an event is impossible its probability is zero. Similarly, if an event is certain to occur, its probability is one. The probability of any event lies in between these values. It is called the range of probability and is denoted as 0 ≤ P (E) ≤ 1.And probability more than one means that favourable outcomes are more than total outcomes which is wrong.