Answer:
88.98% probability that a randomly selected car had automatic transmission or air conditioning or both
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
37 had automatic transmission only
44 had air conditioning only
61 had automatic transmission
This already counts those with both automatic transmission and air conditioning. So 61-37 = 24 had both.
So [tex]D = 37 + 44 + 24 = 105[/tex]
Total outcomes:
118 cars sold, so [tex]T = 118[/tex].
What is the probability that a randomly selected car had automatic transmission or air conditioning or both?
[tex]p = \frac{D}{T} = \frac{105}{118} = 0.8898[/tex]
88.98% probability that a randomly selected car had automatic transmission or air conditioning or both
