## Task 11/77

What is the probability that the second roll of a fair die will result in a higher number than the first?
The probability of rolling the same number on two dice is $\frac{1}{6}$, the probability of rolling different numbers on two dice is $\frac{5}{6}$.

Since both rolls are "equal," the desired probability is equal to half of $\frac{5}{6}$, which is $\frac{5}{12}$.