Respuesta :
Answer: The correct option is (A) [tex]\dfrac{1}{4}.[/tex]
Step-by-step explanation: Given that a specific event has the probability of [tex]\dfrac{3}{4}[/tex].
we are to find the probability that the event will not occur.
Let the given event be represented by E.
Then, we have
[tex]P(E)=\dfrac{3}{4}.[/tex]
The probability that the event E will not occur is represented by P'(E) and is defined by
[tex]P'(E)=1-P(E).[/tex]
Therefore, we get
[tex]P'(E)=1-\dfrac{3}{4}=\dfrac{4-3}{4}=\dfrac{1}{4}.[/tex]
Thus, the required probability is [tex]\dfrac{1}{4}.[/tex]
Option (A) is CORRECT.
