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A and B are two events.A̅and B̅ are their complement events, respectively, such that AB̅ and AB are two mutually exclusive and exhaustive events in which the event A can occur. Then which option is correct?

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. P(A) = P(A̅B) + P(AB̅)
  2. P(A) = P(AB) + P(AB̅)
  3. P(A) = P(A̅) + P(AB̅)
  4. P(A) = 1

Answer (Detailed Solution Below)

Option 2 : P(A) = P(AB) + P(AB̅)
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Detailed Solution

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Explanation

If A and B are two event and A̅  and B̅ are their complementary events

AB̅ and AB are two mutually exclusive and exhaustive events then

∴ P(A) = P(AB) + P(AB̅)

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