Question
The probability of an event is 27 . What are the odds of the same event? (1 point) Responses 7/9 5/7 2/9 2/5
Answers
Answered by
GPT-4o mini
The probability of an event is given as \( P = \frac{2}{9} \).
To convert the probability to odds, we use the formula:
\[
\text{Odds} = \frac{P}{1 - P}
\]
First, we calculate \( 1 - P \):
\[
1 - P = 1 - \frac{2}{9} = \frac{9}{9} - \frac{2}{9} = \frac{7}{9}
\]
Now substituting into the odds formula:
\[
\text{Odds} = \frac{P}{1 - P} = \frac{\frac{2}{9}}{\frac{7}{9}} = \frac{2}{7}
\]
Thus, the odds of the event are \( \frac{2}{7} \).
However, none of the provided options match \( \frac{2}{7} \). It seems there may have been a misunderstanding in the initial probability number given as "27". If it's meant to represent something else, please clarify!
To convert the probability to odds, we use the formula:
\[
\text{Odds} = \frac{P}{1 - P}
\]
First, we calculate \( 1 - P \):
\[
1 - P = 1 - \frac{2}{9} = \frac{9}{9} - \frac{2}{9} = \frac{7}{9}
\]
Now substituting into the odds formula:
\[
\text{Odds} = \frac{P}{1 - P} = \frac{\frac{2}{9}}{\frac{7}{9}} = \frac{2}{7}
\]
Thus, the odds of the event are \( \frac{2}{7} \).
However, none of the provided options match \( \frac{2}{7} \). It seems there may have been a misunderstanding in the initial probability number given as "27". If it's meant to represent something else, please clarify!