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.

Help!

Answer 1

As for my answers, for A I made a small chart with each detail: Working AC, Less Than 75,000 miles and both.

B: 130/200 or 13/20

C: 13/20 + 16/20 = 19/20

Answer 2

@rebeccaxhawaii

Answer 3

@pooja195 @nincompoop @sleepyjess

Answer 4

@Ashleyisakitty

Answer 5

@johnweldon1993 Help!!

Answer 6

Well let's see...200 cars total

B) probability the car has low mileage AND a working AC

60% of the 200 cars have the low mileage...meaning 120 cars

65% OF those 120 cars have a working AC...meaning 78 cars fit this category

So we would have 78/200

C) probability that a car has a working AC

we just found that 78 cars so with low mileage have a working AC...but what about WITHOUT low mileage?

30% has a working AC...that would be of the total 200...so 60 cars in this portion

Meaning in total...78+60=138

So 138/200 would be your probability here

Answer 7

Thanks a billion!! What about part A? How would I make that graph? Just different scenarios with it, like Working AC/Less than 75,000, just AC.

Answer 8

@johnweldon1993 Any thoughts for Part A?