Solution:
The question is given below
What are the odds against of rolling a number larger than four on a fair die?
The numer s greater than 4 on a fair die is given below as
[tex]\begin{gathered} 5,6 \\ n(for) \end{gathered}[/tex]The umber less than or equl to 4 are
[tex]\begin{gathered} 1,2,3,4 \\ n(against) \end{gathered}[/tex]Hence,
The odds against rolling a number larger than four on a fair die will be
[tex]\begin{gathered} \frac{4}{2} \\ =2:1 \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow2:1[/tex]