(c) Find odds in favor of event S. (Round your answer to 3 decimal places.)
Odds in favor of event $S \quad 0.305$
(d) Find odds against event S. (Round your answer to 2 decimal places.) Odds against event $S$

Step 1 ：Given the probability of event S happening, denoted as \(p_S\), is 0.305.

Step 2 ：We first calculate the probability of event S not happening, denoted as \(p_{not\_S}\), which is \(1 - p_S = 0.695\).

Step 3 ：We then calculate the odds in favor of event S, which is the ratio of \(p_S\) to \(p_{not\_S}\).

Step 4 ：Substitute the values into the formula, we get \(odds_S = \frac{p_S}{p_{not\_S}} = \frac{0.305}{0.695} = 0.4388489208633093\).

Step 5 ：Round the result to three decimal places, we get the odds in favor of event S is approximately 0.439.

Step 6 ：Final Answer: The odds in favor of event S is approximately \(\boxed{0.439}\).