Respuesta :
Answer: The probability of rolling a 3 is [tex]\dfrac{1}{6}.[/tex]
Step-by-step explanation: Given that Mark has a six-sided number cube, where each side is numbered from 1 to 6.
We are to find the probability that Mark will roll a 3.
Let, 'A' be the event that Mark will roll a 3.
Then, A = {3} ⇒ n(A) = 1.
Let 'S' be the sample space space for the event.
Then, S = {1, 2, 3, 4, 5, 6} ⇒ n(S) = 6.
Therefore, the probability that Mark will roll a 3 is given by
[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{1}{6}.[/tex]
Thus, the required probability is [tex]\dfrac{1}{6}.[/tex]
