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.
Drive-thru Restaurant
A
B
C
D
Order Accurate
317317
275275
237237
139139
Order Not Accurate
3737
5555
4040
1313
If one order is selected, find the probability of getting an order that is not accurate.
Question content area bottom
Part 1
The probability of getting an order that is not accurate is
enter your response here.
Solution
To find the probability of getting an order that is not accurate, we need to calculate the ratio of the total number of "not accurate" orders to the total number of orders.
Step 1: Sum the "not accurate" orders
The "not accurate" orders for each restaurant are:
- Restaurant A: 37
- Restaurant B: 55
- Restaurant C: 40
- Restaurant D: 13
Total "not accurate" orders =
Step 2: Sum the total number of orders
The total number of orders (both accurate and not accurate) for each restaurant is:
- Restaurant A:
- Restaurant B:
- Restaurant C:
- Restaurant D:
Total number of orders =
Step 3: Calculate the probability
The probability of selecting a "not accurate" order is the ratio of "not accurate" orders to the total number of orders:
Now, let's simplify this fraction.
So, the probability of getting an order that is not accurate is approximately 0.1303, or 13.03%.
Would you like more details on the steps? Here are five related questions to expand on this concept:
- What is the probability of getting an accurate order instead?
- If two orders are selected at random, what is the probability that both are accurate?
- How would the probability change if Restaurant D increased its accurate orders?
- What is the combined probability of getting a not accurate order from Restaurants A or B?
- How does the accuracy rate vary across restaurants?
Tip: Probability is always a number between 0 and 1, where 0 means impossible and 1 means certain.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Ratio and Proportion
Formulas
P(event) = Number of favorable outcomes / Total number of outcomes
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 6-8
Related Recommendation
Calculate Probability of Not Accurate Orders from Fast Food Restaurants
Probability of Accurate Orders in Fast Food Drive-Thru with Replacement
Calculating the Probability of Inaccurate Orders in Fast Food Drive-Thru
Drive-Thru Order Accuracy Probability Problem: Restaurant A or Accurate Order
Calculating Probability of Accurate Orders in a Drive-Thru with Replacement