The number of element sample space for the experiment is n(T) = 8.
Determine the probability for the number 5.
[tex]P(5)=\frac{1}{8}[/tex]The possible number greater than 3 are 4, 5, 6, 7, and 8. So number of possible outcome for greater than 3 are 5.
Determine the probaility for the number greater than 3.
[tex]P\text{ (number greater than 3)=}\frac{5}{8}[/tex]Both events are independent. So probability for number 5, and greater than 3 is,
[tex]\begin{gathered} P\text{ (5,greater than number 3)=P(5)}\cdot P\text{ (number greater than 3)} \\ =\frac{1}{8}\cdot\frac{5}{8} \\ =\frac{5}{64} \end{gathered}[/tex]Answer: 5/64
