The manager of a restaurant determined that the odds against a customer ordering dessert are 6/5. What is the probability of a customer ordering dessert?
 


The odds against a customer ordering dessert are given as \( \frac{6}{5} \). This means that for every 6 customers who do not order dessert, 5 customers do.

To convert odds to probability, we use the formula:

\[
P(\text{event}) = \frac{\text{favorable outcomes}}{\text{favorable outcomes} + \text{unfavorable outcomes}}
\]

Here, the favorable outcomes (ordering dessert) are 5, and the unfavorable outcomes (not ordering dessert) are 6.

Thus, the probability that a customer orders dessert is:

\[
P(\text{dessert}) = \frac{5}{5 + 6} = \frac{5}{11}
\]

So, the probability of a customer ordering dessert is \( \frac{5}{11} \) or approximately 0.4545.

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. If the odds in favor of ordering dessert were 3/2, what would be the probability?
2. What are the odds against ordering dessert if the probability of ordering is \( \frac{2}{7} \)?
3. How do you convert odds in favor of an event to probability?
4. How do the odds against compare with the probability of an event?
5. What is the probability of an event if the odds in favor are equal?

**Tip:** Always remember that odds are different from probability; odds represent a ratio of favorable to unfavorable outcomes.

The manager of a restaurant determined that the odds against a customer ordering dessert are 6/5. What is the probability of a customer ordering dessert?

Find out how to calculate the probability of a customer ordering dessert in a restaurant where the odds against ordering are 6/5. This problem demonstrates how to convert odds into probability using a simple formula. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation