Question

Taylor wants a used car, he would like for it to have a working air conditioner and less than 75,000 miles on it . Of the 200 cars ads he looked at, 60% have less than 75,000 miles. Of these low-mileage cars 65% had a working air conditioner. Of the cars with more than 75,000 miles, only 30% had a working air conditioner.

a) Make a table or tree diagram to show the data.
b) What is the probability that a car looked at has low mileage and a working air conditioner.
c) What is the probability that a car has a working air conditioner.

I think it's something like:

6/120 or 1/20 that it will have mileage and the air conditioner.

60/200 or 3/10 have a working air conditioner.

Can someone help me with the rest and check it? Thanks!

Answer 1

.60 less than 75000 .40 more
.65 air condition .30 air

.60 times .65 low and air

.65 + .30 have working air

Answer 2

Is my probability correct?