We have that the US states that start with the letter 'N' are:
Nebraska
Nevada
New Hampshire
New Jersey
New Mexico
New York
North Carolina
North Dakota
The probability of selecting a state that starts with an N is 8/50, and the probability of rolling at least a 2 in a die is 5/6, therefore:
[tex]\begin{gathered} P(\text{select state that starts with an N and rolling at least a 2)=} \\ (\frac{8}{50})(\frac{5}{6})=\frac{40}{50\cdot6}=\frac{40}{300}=\frac{4}{30}=\frac{2}{15} \end{gathered}[/tex]therefore, the probability is 2/15
