TechFold Inc. has developed a new smartphone with a foldable display that allows users to expand the screen size for a more immersive experience. Because this is a novel smartphone design, it would either become very popular $($successful outcome$)$ or it will fail miserably $($failure outcome$).$ The company thinks there is a $60\%$ chance that the foldable smartphone will be a successful product.

Before making a final decision of whether to launch the new smartphone, TechFold wants to gain more insight into the potential success. They hire a market research firm to conduct focus group surveys. The firm has a history of accurately predicting successful products $80\%$ of the time and unsuccessful products $90\%$ of the time. TechFold Inc. has developed a new smartphone with a foldable display that allows users to expand the screen size for a more immersive experience. Because this is a novel smartphone design, it would either become very popular $($successful outcome$)$ or it will fail miserably $($failure outcome$).$ The company thinks there is a $60\%$ chance that the foldable smartphone will be a successful product.

Before making a final decision of whether to launch the new smartphone, TechFold wants to gain more insight into the potential success. They hire a market research firm to conduct focus group surveys. The firm has a history of accurately predicting successful products $80\%$ of the time and unsuccessful products $90\%$ of the time. what is the probability that the market resaecrh predicts success?