Question

What are the odds of losing a game, if the probability of winning the game is 3/10

?

A. 3:7
B. 3:10
C. 7:3
D. 1:3
Best answer

Answer 1

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**