Questions: Suppose the probability of an event is 28/31. What are the odds for the event happening? The odds are to What are the odds against the event happening? The odds are to

Suppose the probability of an event is 28/31.
What are the odds for the event happening?
The odds are to
What are the odds against the event happening?
The odds are to

Transcript text: Suppose the probability of an event is $\frac{28}{31}$. What are the odds for the event happening? The odds are $\square$ to $\square$ What are the odds against the event happening? The odds are $\square$ to $\square$

Solution

Solution Steps

Step 1: Calculating the Odds for the Event Happening

To calculate the odds for the event happening, we compare the number of ways the event can happen, 28, to the number of ways the event cannot happen, 3. Thus, the odds for the event happening are given by $\frac{28}{3}$, which simplifies to ^28:3^.

Step 2: Calculating the Odds Against the Event Happening

To calculate the odds against the event happening, we take the reciprocal of the odds for the event. This compares the number of ways the event cannot happen, 3, to the number of ways the event can happen, 28. Thus, the odds against the event happening are given by $\frac{3}{28}$, which simplifies to ^3:28^.