If the probability of winning a game is \( \frac{3}{10} \), we can find the probability of losing by subtracting the probability of winning from 1.
The probability of losing = \( 1 - \frac{3}{10} = \frac{7}{10} \).
To express the odds of losing, we compare the probability of losing to the probability of winning:
- Probability of losing = \( \frac{7}{10} \)
- Probability of winning = \( \frac{3}{10} \)
The odds of losing can be expressed as the ratio of the probability of losing to the probability of winning:
\[ \text{Odds of losing} = \frac{\text{Probability of losing}}{\text{Probability of winning}} = \frac{7/10}{3/10} = \frac{7}{3} \]
Therefore, the odds of losing the game are \( 7:3 \).
The best answer is:
C. 7:3