According to a survey, of those employees living more than 2 miles from work , 90% travel to work by car . Of the remaining employees, only 50% travel to work by car .

It's known that 75% of employees live more than 2 miles from work .

Find the probability of that an employee who travels to work by car more than 2 miles from work .

The ans given is (0.9 x 0.75 ) / (0.75)(0.9) + (0.25)(0.5) = 0.844

But , I think it should be (0.9 x 0.75 ) = 0.675

Correct me if i am wrong .