Which of the following options is correct?

P (E) = 1 + P (¯ E)

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P (¯ E) - P (E) = 1

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P (E) + P (¯ E) = 1

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None of these

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Solution

The correct option is C $P (E) + P (¯ E) = 1$
For complementary events,
$P (E) + P (¯ E) = 1 i . e ., O \leq P (E) \leq 1$

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$P (E) + P (¯ E)$ is equal to

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¯ E

P (¯ E) = \frac{1}{5}, P (E) =

If P(E) and P(E’) are the probabilities of two complementary events, then which of the following is always true?

A

B

P (A) = 0.3

P (A \cup ¯ B) = 0.8

P (B) = \frac{2}{7}

P (¯ E) = 1 - P (E)

E

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