Answer: The probability of not rolling a 2 is [tex]\dfrac{5}{6}.[/tex]
Step-by-step explanation: Given that a number cube has sides numbered 1 through 6. And the probability of rolling a 2 is [tex]\dfrac{1}{6}.[/tex]
We are to find the probability of not rolling a 2.
Let, 'A' denotes the event of rolling a 2.
So, we have
[tex]P(A)=\dfrac{1}{6}.[/tex]
The event of not rolling a 2 is given by the complement of event A.
The probability of the complement of event 'A' can be calculated as
[tex]P(A')=1-P(A)=1-\dfrac{1}{6}=\dfrac{5}{6}.[/tex]
Thus, the probability of not rolling a 2 is [tex]\dfrac{5}{6}.[/tex]
