Answer:
[tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
A single die is rolled on time.
All possible outcomes are [tex]1,2,3,4,5,6[/tex] (6 in total)
Rolling a number greater than 5 or less than 4 means rolling numbers [tex]6[/tex] or [tex]1,2,3[/tex] so
All favorable outcomes are [tex]1,2,3,6[/tex] (4 in total)
The probability of rolling a number greater than 5 or less than 4 is
[tex]P=\dfrac{\text{Number of all favorable outcomes }}{\text{Number of all possible outcomes}}\\ \\=\dfrac{4}{6}\\ \\=\dfrac{2}{3}[/tex]
