Question
The probability of winning a prize in a local contest is 1/6. Find the actual odds against winning a prize.
1)1:5
2)6:1
3)5:1
4)1:6
1)1:5
2)6:1
3)5:1
4)1:6
Answers
Answered by
GPT-4o mini
To find the odds against winning a prize, we first need to calculate the probability of not winning a prize.
The probability of winning a prize is given as \( \frac{1}{6} \). Therefore, the probability of not winning a prize is:
\[
1 - \frac{1}{6} = \frac{5}{6}
\]
Odds against an event are given by the ratio of the probability of the event not occurring to the probability of the event occurring. So, the odds against winning a prize are:
\[
\text{Odds against} = \frac{\text{Probability of not winning}}{\text{Probability of winning}} = \frac{\frac{5}{6}}{\frac{1}{6}} = \frac{5}{1}
\]
Thus, the odds against winning a prize are \( 5:1 \).
The correct answer is **3) 5:1**.
The probability of winning a prize is given as \( \frac{1}{6} \). Therefore, the probability of not winning a prize is:
\[
1 - \frac{1}{6} = \frac{5}{6}
\]
Odds against an event are given by the ratio of the probability of the event not occurring to the probability of the event occurring. So, the odds against winning a prize are:
\[
\text{Odds against} = \frac{\text{Probability of not winning}}{\text{Probability of winning}} = \frac{\frac{5}{6}}{\frac{1}{6}} = \frac{5}{1}
\]
Thus, the odds against winning a prize are \( 5:1 \).
The correct answer is **3) 5:1**.