From police records, it has been determined that 15% of drivers stopped for routine license checks are not wearing seat belts. if a police officer stops 10 vehicles, how likely is it that two consecutive drivers won't be wearing their seat belts?

Not very likely to get two consecutive drivers wearing seat belts.

Explanation:

From the question the report shows only 15% percent wear seat belts.

If 10 cars are selected at random the possibility of getting at least one wearing seat belt is

= 10× 15/100

==> 1.5 out of 10

1.5, is not upto average of 10 it's just a bit above the zero mark. Which makes the chances of meeting at least one driver wearing seat belt low.

To get consecutive drivers wearing seat belts, would be even a lower possibility. This is so due to the fact that according to the records the chances of meeting a driver on seat belts is low, and the possibility of it happening in quick succession is going to be smaller, because overall percentage of drivers wearing seat belts is small.