Questions: Suppose the probability of an event is 20/27. What are the odds for the event happening? to What are the odds against the event happening? to
Transcript text: prod.ccsnh.edu/courses/86834/assignments/1653087
Due
Sunday by 11:59pm
Points
100
Submitting
an external too
Chapter 8: Introduction to Probability - Hom
Score: 61/100 21/31 answered
Question 22
Suppose the probability of an event is $\frac{20}{27}$.
What are the odds for the event happening?
$\square$ to $\square$
What are the odds against the event happening?
$\square$ to $\square$
Question Help: Video
Submit Question
Solution
Solution Steps
To solve the problem, we need to understand the relationship between probability and odds. The probability of an event happening is given as \(\frac{20}{27}\). The odds for the event happening are calculated as the ratio of the probability of the event happening to the probability of the event not happening. Similarly, the odds against the event happening are the inverse of the odds for the event happening.
Solution Approach
Calculate the probability of the event not happening.
Calculate the odds for the event happening.
Calculate the odds against the event happening.
Step 1: Calculate the Probability of the Event Not Happening
\[
\text{Odds against} \approx 0.35 \text{ to } 1.
\]
Final Answer
The odds for the event happening are approximately \( \boxed{2.86 \text{ to } 1} \) and the odds against the event happening are approximately \( \boxed{0.35 \text{ to } 1} \).