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Which one of the following cannot be the probability of an event
- a)1/3
- b)11/36
- c)-2/3
- d)1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which one of the following cannot be the probability of an eventa)1/3b...
Explanation:
To understand why option 'C' (-2/3) cannot be the probability of an event, let's review the definition of probability and its properties.
Probability:
Probability is a measure of the likelihood of an event occurring. It is always a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Properties of Probability:
1. The probability of any event is always greater than or equal to 0.
2. The probability of the sample space (all possible outcomes) is always 1.
3. The probability of an event cannot be greater than 1.
Now, let's analyze each option:
a) 1/3:
This is a valid probability because it is between 0 and 1 (inclusive), satisfying property 1.
b) 11/36:
This is also a valid probability because it is between 0 and 1 (inclusive), satisfying property 1.
c) -2/3:
This option is not a valid probability because it is less than 0, violating property 1. Probabilities cannot be negative.
d) 1:
This is a valid probability because it is equal to 1, satisfying property 2. It represents a certain event where the event is guaranteed to occur.
Therefore, the correct answer is option 'C' (-2/3) because it violates the property that probabilities cannot be negative.
To understand why option 'C' (-2/3) cannot be the probability of an event, let's review the definition of probability and its properties.
Probability:
Probability is a measure of the likelihood of an event occurring. It is always a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Properties of Probability:
1. The probability of any event is always greater than or equal to 0.
2. The probability of the sample space (all possible outcomes) is always 1.
3. The probability of an event cannot be greater than 1.
Now, let's analyze each option:
a) 1/3:
This is a valid probability because it is between 0 and 1 (inclusive), satisfying property 1.
b) 11/36:
This is also a valid probability because it is between 0 and 1 (inclusive), satisfying property 1.
c) -2/3:
This option is not a valid probability because it is less than 0, violating property 1. Probabilities cannot be negative.
d) 1:
This is a valid probability because it is equal to 1, satisfying property 2. It represents a certain event where the event is guaranteed to occur.
Therefore, the correct answer is option 'C' (-2/3) because it violates the property that probabilities cannot be negative.
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Which one of the following cannot be the probability of an eventa)1/3b)11/36c)-2/3d)1Correct answer is option 'C'. Can you explain this answer?
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