# Probability of Order Accuracy from A, C, or Not Accurate

• MHB
• jridgeman99
In summary, the problem involves finding the probability of selecting an order from restaurant A or C, or an inaccurate order, when choosing a single order. This can be solved using the addition rule, with the answer being 0.633.
jridgeman99
This is a problem I got for a review in probability and statistics

The layout of the data is as follows:
A B C D
Order Accurate- 315 277 234 120
Order not - 34 50 35 18
accurate

Like I said previously this is an or problem and this means it is an addition rule problem. The problem wants me to compute
the probability that whenever a single order is selected what is the probability that this probability is from restaurant A or C or an order that is not accurate.
I know the answer is .633 I just can't figure out how to set up the problem.

jridgeman99 said:
This is a problem I got for a review in probability and statistics

The layout of the data is as follows:
A B C D
Order Accurate- 315 277 234 120
Order not - 34 50 35 18
accurate

Like I said previously this is an or problem and this means it is an addition rule problem. The problem wants me to compute
the probability that whenever a single order is selected what is the probability that this probability is from restaurant A or C or an order that is not accurate.
I know the answer is .633 I just can't figure out how to set up the problem.

[(all A) + (all C) + (inaccurate B) + (inaccurate D)]/total

$\dfrac{(315+34)+(234+35)+50+18}{1083} = 0.6334$

## 1. What is the probability of order accuracy from A, C, or not accurate?

The probability of order accuracy from A, C, or not accurate is dependent on several factors, including the accuracy of the data used, the complexity of the order, and the efficiency of the ordering system. It is difficult to determine an exact probability without specific information about these factors.

## 2. How is the probability of order accuracy calculated?

The probability of order accuracy is typically calculated by dividing the number of accurate orders by the total number of orders. This can be expressed as a percentage or decimal value. However, this calculation may vary depending on the specific context and data being analyzed.

## 3. Can the probability of order accuracy be improved?

Yes, the probability of order accuracy can be improved by implementing measures to improve data accuracy, streamlining the ordering process, and regularly reviewing and updating the system to ensure efficiency. Additionally, providing proper training and resources for those involved in the ordering process can also help improve accuracy.

## 4. What is the impact of inaccurate orders on the overall probability of accuracy?

Inaccurate orders can significantly lower the overall probability of accuracy. Even a small percentage of inaccurate orders can greatly affect the overall probability, especially in a large sample size. It is important to address and minimize inaccurate orders to maintain a high probability of accuracy.

## 5. How can the probability of order accuracy from A, C, or not accurate be used in decision making?

The probability of order accuracy from A, C, or not accurate can be used in decision making to assess the effectiveness of the ordering system and identify areas for improvement. It can also help in setting realistic goals and expectations for order accuracy and determining the impact of any changes made to the system.

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