Answer:
The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7
Step-by-step explanation:
Odds-against is the ratio of probability of non-occurrence of an event to the probability of occurrence of an event.
Let p be the probability that the new customer will order vanilla
Then
[tex]p = \frac{7}{9}[/tex]
Let q be the probability that the new customer will not order vanilla
[tex]q = 1-p\\= 1 - \frac{7}{9}\\= \frac{9-7}{9}\\=\frac{2}{9}[/tex]
Now the odds against formula is:
[tex]\frac{Probability\ of\ non-occurrence}{Probability\ of\ occurrence}= \frac{q}{p}\\=\frac{\frac{2}{9}}{\frac{7}{9}}\\=\frac{2}{9} * \frac{9}{7}\\=\frac{2}{7}[/tex]
Hence,
The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7
