1003158407

The long-term records of a car dealer show that a customer getting a new car buys within special equipment offers a parking assistant system (PAS) with the probability $50\mathrm{\%}$ and that he buys a xenon flashlight with the probability $20\mathrm{\%}$. Both items of special equipment (PAS and xenon lamps) are purchased by the customer with the probability $10\mathrm{\%}$. What is the probability that the customer bought xenon lamps if you know he bought PAS?