(b) Tom is playing a role-playing game with his friends. He will roll dice to determine if his character casts a spell. The odds in finvor of his character casting a spell are $\frac{13}{6}$. Find the probability of his character casting a spell.
\begin{tabular}{|l|l|}
\hline 믐 & \\
$x$ & 5 \\
\hline
\end{tabular}

Step 1 ：To find the probability of Tom's character casting a spell, we need to convert the given odds in favor to a probability.

Step 2 ：The odds in favor are given as a ratio of the number of successful outcomes to the number of unsuccessful outcomes.

Step 3 ：To convert this to a probability, we need to find the total number of outcomes (successful + unsuccessful) and then divide the number of successful outcomes by the total number of outcomes.

Step 4 ：Let the odds in favor be represented as \(\frac{13}{6}\).

Step 5 ：The total number of outcomes is \(13 + 6 = 19\).

Step 6 ：The probability is therefore \(\frac{13}{19}\).

Step 7 ：Calculating the decimal value, the probability is \(0.6842\).

Step 8 ：Final Answer: \(\boxed{0.6842}\)