The probability of winning a particular game at the Game Place is 1/4. Find the odds against winning the game. A. 5 to 1 B. 3 to 1 C. 1 to 4 D. 3 to 4
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.
\(\text{Odds of game}=1-\frac{1}{4}\)
\(\text{Odds of game}=\frac{4}{4}-\frac{1}{4}\)
\(\text{Odds of game}=\frac{4-1}{4}=\frac{3}{4}\)
Now, the odds against winning the game would be:
\(\frac{\frac{3}{4}}{\frac{1}{4}}=\frac{4*3}{1*4}=\frac{3}{1}\)
Therefore, the odds against winning the game is 3 to 1 and option B is the correct choice.