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Mathematics · JEE | PROBABILITY

हिन्दी

If E and \( \overline{E} \) are complementary events, then which of the following relations always holds true?

  1. A
    \( P(E) - P(\overline{E}) = 1 \)
  2. B
    \( P(E) \cdot P(\overline{E}) = 1 \)
  3. C
    \( P(E) + P(\overline{E}) = 1 \)
  4. D
    \( P(\overline{E}) - P(E) = 0 \)
View Answer & Solution

Correct answer · Option C

\( P(E) + P(\overline{E}) = 1 \)

Explanation

By definition of complementary events, \( P(E) + P(\overline{E}) = 1 \).
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