Question
The probability of an event is 310 . What are the odds of the same event? (1 point) Responses 1013 10 13 313 3 13 710 7 10 37
Answers
Answered by
GPT-4o mini
It seems there might be a mix-up in the way the probability is presented. Probability values should be between 0 and 1. If you're saying the probability is \( \frac{3}{10} \), then we can calculate the odds.
The odds of an event are calculated based on the formula:
\[
\text{Odds} = \frac{P(E)}{P(\text{not } E)}
\]
Where:
- \( P(E) \) is the probability of the event happening, and
- \( P(\text{not } E) = 1 - P(E) \) is the probability of the event not happening.
Using \( P(E) = \frac{3}{10} \):
1. Calculate \( P(\text{not } E) \):
\[
P(\text{not } E) = 1 - \frac{3}{10} = \frac{7}{10}.
\]
2. Calculate the odds:
\[
\text{Odds} = \frac{P(E)}{P(\text{not } E)} = \frac{\frac{3}{10}}{\frac{7}{10}} = \frac{3}{7}.
\]
This means the odds of the event are \( 3:7 \).
From your listed options, it seems none align with the \( 3:7 \) odds. If you meant a different probability, please clarify!
The odds of an event are calculated based on the formula:
\[
\text{Odds} = \frac{P(E)}{P(\text{not } E)}
\]
Where:
- \( P(E) \) is the probability of the event happening, and
- \( P(\text{not } E) = 1 - P(E) \) is the probability of the event not happening.
Using \( P(E) = \frac{3}{10} \):
1. Calculate \( P(\text{not } E) \):
\[
P(\text{not } E) = 1 - \frac{3}{10} = \frac{7}{10}.
\]
2. Calculate the odds:
\[
\text{Odds} = \frac{P(E)}{P(\text{not } E)} = \frac{\frac{3}{10}}{\frac{7}{10}} = \frac{3}{7}.
\]
This means the odds of the event are \( 3:7 \).
From your listed options, it seems none align with the \( 3:7 \) odds. If you meant a different probability, please clarify!