Final answer:
To find the probability of getting an order that is not accurate or from Restaurant C, add the two individual probabilities and subtract the intersection if necessary. Use the addition rule of probability, considering the events may not be disjoint.
Step-by-step explanation:
The probability of selecting an order that is not accurate or from Restaurant C can be found using the addition rule of probability. The events of selecting an order that is not accurate and selecting an order from Restaurant C are not disjoint because an order from Restaurant C can be either accurate or not accurate.
Calculating the Probability:
- First, calculate the total number of orders by adding the accurate and not accurate orders for all the restaurants: (340 + 280 + 243 + 126) + (31 + 58 + 32 + 20) = 1130.
- Next, find the probability of an order being not accurate by dividing the total not accurate orders by the total number of orders: (31 + 58 + 32 + 20) / 1130.
- Then, find the probability of an order being from Restaurant C by dividing the total number of orders from Restaurant C by the total number of orders: (243 + 32) / 1130.
- To find the probability of an order being not accurate or from Restaurant C, add the probabilities calculated in steps 2 and 3: P(Not Accurate) + P(Restaurant C).
- Finally, if an order from Restaurant C that is not accurate was counted in both P(Not Accurate) and P(Restaurant C), subtract the probability of an order being from Restaurant C and not accurate to avoid double-counting: P(Not Accurate or C) = P(Not Accurate) + P(Restaurant C) - P(Not Accurate and C).
Answer:
Using the above steps, calculate the relevant probabilities and sum to find the final probability for an order being not accurate or from Restaurant C.