A realtor is trying to sell a large piece of property. She believes there is a 0.90 probability that the property will be sold in the next 6 months if the local economy continues to improve throughout the period, and a 0.50 probability the property will be sold if the local economy does not continue its improvement during the period.

A state economist consulted by the realtor believes there is a 0.70 chance the economy will continue its improvement during the next 6 months. What is the probability that the piece of property will be sold during the period?