Math Problem Statement

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. If one order is selected, find the probability of getting an order that is not accurate.

Solution

To calculate the probability of getting an order that is not accurate, we need to use the data provided in the table.

Step 1: Total number of orders

The total number of orders is the sum of all accurate and inaccurate orders across all four restaurants (A, B, C, and D).

Total number of orders: 329+32+261+56+245+30+129+15=1097329 + 32 + 261 + 56 + 245 + 30 + 129 + 15 = 1097

Step 2: Total number of inaccurate orders

Inaccurate orders are provided in the second row of the table for each restaurant:

32+56+30+15=13332 + 56 + 30 + 15 = 133

Step 3: Probability calculation

The probability of getting an inaccurate order is the ratio of the number of inaccurate orders to the total number of orders.

P(Not Accurate)=13310970.121P(\text{Not Accurate}) = \frac{133}{1097} \approx 0.121

Final Answer:

The probability of getting an order that is not accurate is approximately 0.121 (rounded to three decimal places).

Let me know if you need further details or clarifications!

Here are 5 related questions you might want to consider:

  1. What is the probability of getting an accurate order?
  2. How would the probability change if another restaurant was added?
  3. What is the probability of getting an inaccurate order from Restaurant A only?
  4. How does the probability compare between different restaurants?
  5. How can this data be used to improve order accuracy in restaurants?

Tip: When calculating probabilities, always ensure that the numerator (desired outcomes) and denominator (total outcomes) are clearly identified to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Probability
Ratio

Formulas

Probability = Desired Outcomes / Total Outcomes

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 9-12