Question

For reference, I did this exact question before on the homework and got it right, but I don't remember one step in how I got the answer (which was 0.769). I do have some notes of that problem right here:

	Restaurant A	Restaurant B	Restaurant C	Restaurant D
Order Accurate	310	268	238	135
Order Not Accurate	37	50	34	12

951

1084

(I don't know what to do with the numbers above to get to the answer below):

0.769

And here is the new (but also the same) problem I now need solved:

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 313 37 В C Order Accurate Order Not Accurate 133 274 241 39 59 13 If two orders are selected, find the probability that they are both accurate. Complete parts (a) and (b) below. a. Assume that the selections are made with replacement. Are the events independent? The probability is 0.758 The events independent. are (Round to three decimal places as needed.) b. Assume that the selections are made without replacement. Are the events independent? The probability is 0.758The events are not independent. (Round to three decimal places as needed.)

As always, thank you for your time!

Answer 1

	Restaurant A	Restaurant B	Restaurant C	Restaurant D	Total
Order Accurate	310	268	238	135	951
Order Not Accurate	37	50	34	12	133
Total	347	318	272	147	1084
Out of 1084 orders 951 orders are accurate.
If 2 orders are selected, the probability that both are accurate is =(951/1084)*(950/1083) = 0.769