Answer:
B. 3 to 1.
Step-by-step explanation:
We have been given that the probability of winning a particular game at the Game Place is 1/4. We are asked to find the odds against winning the game.
First of all, we will find odds of game by subtracting probability of winning the game from 1.
[tex]\text{Odds of game}=1-\frac{1}{4}[/tex]
[tex]\text{Odds of game}=\frac{4}{4}-\frac{1}{4}[/tex]
[tex]\text{Odds of game}=\frac{4-1}{4}=\frac{3}{4}[/tex]
Now, the odds against winning the game would be:
[tex]\frac{\frac{3}{4}}{\frac{1}{4}}=\frac{4*3}{1*4}=\frac{3}{1}[/tex]
Therefore, the odds against winning the game is 3 to 1 and option B is the correct choice.
