If the probability of an event is p,the proba | vedclass

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Question

(A) The sum of the probability of an event and the probability of its complementary event is always $1$.Let $E$ be an event and $E'$ be its complement

Vedclass · Accepted Answer

$1-p$

Vedclass · Answer

(A) The sum of the probability of an event and the probability of its complementary event is always $1$.Let $E$ be an event and $E'$ be its complementary event.Then,$P(E) + P(E') = 1$.Given that the probability of the event is $p$,we have $P(E) = p$.Substituting this into the equation,we get $p + P(E') = 1$.Therefore,the probability of its complementary event is $P(E') = 1 - p$.

If the probability of an event is $p$,the probability of its complementary event will be

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