A local supermarket specialising in breakfast cereals decides to analyse the buying patterns of its cus- tomers. They make a small survey asking six randomly chosen people their age (older or younger than 60 years) and which of the breakfast cereals (Cornflakes, Frosties, Sugar Puffs, Branflakes) they like. Each respondent provides a vector with entries 1 or 0 corresponding to whether they like or dislike the cereal. Thus a respondent with (1101) would like Cornflakes, Frosties and Branflakes, but not Sugar Puffs. The older than 60 years respondents provide the following data (1000) , (1001) , (1111) , (0001). The younger than 60 years old respondents responded (0110) , (1110). A novel customer comes into the supermarket and says she only likes Frosties and Sugar Puffs. Using naive Bayes trained with maximum likelihood, what is the probability that she is younger than 60?