Answer:
The expected probability of the complement of the event is:
[tex]\dfrac{5}{6}[/tex]
Step-by-step explanation:
We know that for any event A and the complement of the event i.e. [tex]A^c[/tex] the sum of the probabilities of both the events is equal to 1.
i.e. if P denote the probability of an event then we have:
[tex]P(A)+P(A^c)=1[/tex]
Here we have the probability of event A as:
[tex]P(A)=\dfrac{1}{6}[/tex]
Hence,
[tex]\dfrac{!}{6}+P(A^c)=1\\\\\\i.e.\\\\\\P(A^c)=1-\dfrac{1}{6}\\\\\\i.e.\\\\\\P(A^c)=\dfrac{6-1}{6}\\\\\\i.e.\\\\\\\\P(A^c)=\dfrac{5}{6}[/tex]
Hence, the answer is:
[tex]\dfrac{5}{6}[/tex]
