Question

Use the data in the following table to answer the question. Assume that orders are randomly selected from those included in the table.

	A	B	C	D
Order accurate	313	265	241	131
Order not accurate	40	57	39	14

If one order is randomly selected, find the probability of getting food that is not from restaurant D. (round to three decimal places)

Answer 1

Let , D be the event that the food is getting from restaurant D.

The total number of orders in a sample space is , n(S)=313+265+241+131+40+57+39+14=1100

Also , the total number of orders from restaurant D is , n(D)=131+14=145

Now , one order is randomly selected.

Therefore , the probability of getting a food that is from restaurant D is ,

P(D)=n(D) / n(S) = 145/1100=0.132

Therefore , the probability of getting food that is not from restaurant D = 1-P(D') = 1-0.132=0.868