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Sum of the probabilities of each outcome in an experiment is ______.

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Question

Sum of the probabilities of each outcome in an experiment is ______.

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Solution

Sum of the probabilities of each outcome in an experiment is 1.

Explanation:

If an experiment has n mutually exclusive and exhaustive elementary outcomes \[E_{1}, E_{2}, \ldots, E_{n}\], the sum of their probabilities is always equal to 1.

Mathematically: \[\sum_{i=1}^{n} P(E_{i}) = P(E_{1}) + P(E_{2}) + \cdots + P(E_{n}) = 1\]

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Chapter 16: Probability - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 16.30]

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R.D. Sharma Mathematics [English] Class 10
Chapter 16 Probability
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 17. | Page 16.30
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