Which of the following cannot be the probability of an event?
- \(\frac{1}{3}\)
- 0.3
- 33%
- \(\frac{7}{6}\)
The Correct Option is D
Solution and Explanation
The probability of an event must always be a number between 0 and 1, inclusive. This means that: \[ 0 \leq \text{Probability of an event} \leq 1. \] Now, let's evaluate each option:
\( \frac{1}{3} \) is a valid probability because it lies between 0 and 1.
0.3 is a valid probability because it is between 0 and 1.
33% is equivalent to \( \frac{33}{100} \), which is a valid probability because it lies between 0 and 1.
\( \frac{7}{6} \) is greater than 1, which is not a valid probability.
The correct option is (D): \(\frac{7}{6}\)
Top Questions on Probability
Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health and 100 had a poor health record.
Let \( A_1 \): People with good health,
\( A_2 \): People with average health,
and \( A_3 \): People with poor health.
During a pandemic, the data expressed that the chances of people contracting the disease from category \( A_1, A_2 \) and \( A_3 \) are 25%, 35% and 50%, respectively.
Based upon the above information, answer the following questions:
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