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.

A B C D

Order Accurate334272249137

Order Not Accurate35573818

If two orders are selected, find the probability that they are both from Restaurant D.

a. Assume that the selections are made with replacement. Are the events independent?

b. Assume that the selections are made without replacement. Are the events independent?

Answer:

Assume that the selections are made with replacement. Are the events independent?

The probability of getting two orders from Restaurant D is :

(Round to four decimal places as needed.)

The events

are not

are

independent because choosing the first order

affects

does not affect

the choice of the second order.

b. Assume that the selections are made without replacement. Are the events independent?

The probability of getting two orders from Restaurant D is:

(Round to four decimal places as needed.)

The events

are not

are

independent because choosing the first order

affects

does not affect

the choice of the second order.