Next the actuary wants to investigate theft. She has found overall that those who purchase security systems encounter a lower rate of theft. Approximately 35% of people in the neighborhood have an active security system in place. She wants to narrow the marketing of this insurance plan to only people who have active security systems. She wants to find the conditional probability that these homeowners encounter theft, given that they own a security system.

She found historically that 0.2% of the total population in her region own a security system and encountered theft. How can she find the probability that someone encounters theft, given that they own a security system? Round your answer to four decimal places. Explain your answer below: