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Verified Answer :

its 1/4
you do 1-3/4 to get it

Answer:  The correct option is (A) \(\dfrac{1}{4}.\)

Step-by-step explanation: Given that a specific event has the probability of \(\dfrac{3}{4}\).

we are to find the probability that the event will not occur.

Let the given event be represented by E.

Then, we have

\(P(E)=\dfrac{3}{4}.\)

The probability that the event E will not occur is represented by P'(E) and is defined by

\(P'(E)=1-P(E).\)

Therefore, we get

\(P'(E)=1-\dfrac{3}{4}=\dfrac{4-3}{4}=\dfrac{1}{4}.\)

Thus, the required probability is \(\dfrac{1}{4}.\)

Option (A) is CORRECT.