[tex]\begin{gathered} \text{the probability that the first number is correct is } \\ \frac{1}{6} \\ \\ \text{and the probability that the second number is incorrect is } \\ \frac{5}{6} \\ \\ \text{thus the probability that the first number is correct and the second is incorrect is } \\ \frac{1}{6}\times\frac{5}{6}=\frac{5}{36} \end{gathered}[/tex]
