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Which of the following cannot be the probability of an event? \[\left( \mathbf{i} \right)~\mathbf{3}/\mathbf{7}\] \[\left( \mathbf{ii} \right)\text{ }\mathbf{0}.\mathbf{82}\]
Which of the following cannot be the probability of an event? \[\left( \mathbf{i} \right)~\mathbf{3}/\mathbf{7}\] \[\left( \mathbf{ii} \right)\text{ }\mathbf{0}.\mathbf{82}\]
CBSE | Class 10 | Exercise 13.3 | Selina | Statistics and Probability
Which of the following cannot be the probability of an event? \[\left( \mathbf{i} \right)~\mathbf{3}/\mathbf{7}\] \[\left( \mathbf{ii} \right)\text{ }\mathbf{0}.\mathbf{82}\]

Solution:

We know that probability of an event E is \[0\text{ }\le \text{ }P\left( E \right)\text{ }\le \text{ }1\]

\[\left( i \right)\text{ }As\text{ }0\text{ }\le \text{ }3/7\text{ }\le \text{ }1\]

Thus, \[3/7~\] can be a probability of an event.

\[\left( ii \right)\text{ }As\text{ }0\text{ }\le \text{ }0.82\text{ }\le \text{ }1\]

Thus, \[0.82~\] can be a probability of an event.

i

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