In my street, people seem to be driving either Mercedes or BMW cars (wish I could afford one!). There are also men and women drivers. The table below is a record of observations over the past week. I peek out through the curtain and write down what I see with a notepad.

Merc BMW

M 45 98

W 81 22

I get all the drivers into a large hall by bribing them. I walk around blindfold. What is the probability that the first person I tap on the shoulder is someone who is both male and drives a BMW? Answer as a probability to two decimal places.