AMC10 2027 - Self-practice Set 2 Question 5

Question 5

Two fair eight-sided dice numbered $1$ through $8$ are rolled independently. What is the probability that the product of their values exceeds their sum?

$\frac12$
$\frac{47}{64}$
$\frac34$
$\frac{55}{64}$
$\frac78$