Answer:
1/6
Explanation:
The number cube has 6 faces (1,2,3,4,5, and 6)
Numbers greater than 4 = {5,6}
[tex]P(\text{number rolled is greater than 4)}=\frac{2}{6}=\frac{1}{3}[/tex]A coin has two faces (Head and Tail):
[tex]P(\text{coin toss is tails)}=\frac{1}{2}[/tex]Therefore, the probability that the number rolled is greater than 4 and the coin toss is tails:
[tex]\begin{gathered} =\frac{1}{3}\times\frac{1}{2} \\ =\frac{1}{6} \end{gathered}[/tex]