Thread: Another Difficult prob/stat question!

Suppose that 10% of the licensed drivers in y our community have been cited for drunken driving. A study reveals that 80% of the drivers who have a history of drunken driving will be cited again, and that 20% of those with no previous history of drunken driving will receive a drunken driving citation. What is the probability that a motorist who is arrested for drunken driving will have been cited in the past?

I'm looking at 8%
the 10% of drivers being cited before times the 80% chance that they will be cited again
10% x 80%