The Whiter Smile Company is about to begin selling a new toothpaste. Company planners know that the probability of the new product being profitable is 10 %. They also know from previous market research that when their test panel likes the product, it has an 80 % chance of being profitable. Historically, panels like 10 % of the new products. Using the Bayesian approach, find the probability that the panel liked the product if the toothpaste is profitable.