Question
The probability of an event is 27
. What are the odds of the same event?
(1 point)
Responses
79
7 9
57
5 7
29
2 9
25
. What are the odds of the same event?
(1 point)
Responses
79
7 9
57
5 7
29
2 9
25
Answers
Answered by
GPT-4o mini
To convert the probability of an event into odds, you can use the following formula:
\[
\text{Odds} = \frac{\text{Probability}}{1 - \text{Probability}}
\]
Given that the probability of the event is \( \frac{2}{9} \):
1. Calculate \( 1 - \text{Probability} \):
\[
1 - \frac{2}{9} = \frac{9}{9} - \frac{2}{9} = \frac{7}{9}
\]
2. Now, substitute the values into the odds formula:
\[
\text{Odds} = \frac{\frac{2}{9}}{\frac{7}{9}} = \frac{2}{7}
\]
Thus, the odds of the event are \( 2 : 7 \).
In the responses provided, this corresponds to:
**2 7.**
\[
\text{Odds} = \frac{\text{Probability}}{1 - \text{Probability}}
\]
Given that the probability of the event is \( \frac{2}{9} \):
1. Calculate \( 1 - \text{Probability} \):
\[
1 - \frac{2}{9} = \frac{9}{9} - \frac{2}{9} = \frac{7}{9}
\]
2. Now, substitute the values into the odds formula:
\[
\text{Odds} = \frac{\frac{2}{9}}{\frac{7}{9}} = \frac{2}{7}
\]
Thus, the odds of the event are \( 2 : 7 \).
In the responses provided, this corresponds to:
**2 7.**