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प्रश्न
The range of probability of any event of a random experiment is ______.
रिकाम्या जागा भरा
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उत्तर
The range of probability of any event of a random experiment is [0, 1].
Explanation:
The number of favourable outcomes m for any event always satisfies \[0 \leq m \leq n\], where n is the total number of equally likely outcomes.
Dividing throughout by n gives: \[0 \leq \frac{m}{n} \leq 1\]
\[\Rightarrow 0 \leq P(E) \leq 1\]
Hence, the range expressed in closed interval form is [0, 1].
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