To find the odds of winning the game based on the probability of winning, we can use the formula for odds, which is usually expressed as the ratio of the probability of winning to the probability of losing.
If the probability of winning \( P(W) = \frac{3}{11} \), then the probability of losing \( P(L) = 1 - P(W) = 1 - \frac{3}{11} = \frac{8}{11} \).
The odds in favor of winning are calculated as:
\[ \text{Odds} = \frac{P(W)}{P(L)} = \frac{\frac{3}{11}}{\frac{8}{11}} = \frac{3}{8} \]
Thus, the odds in favor of winning are 3:8.
So, the best answer is:
D. 3:8