Suppose a sample was taken of married adults, similar to the one in our lecture notes. However, rather than categorizing on gender lines, they were interested in whether heterosexual marriages or same-sex marriages were more happy with their marriages in general. Let's defined the events as follows: S = adult is part of a same-sex marriage SC = adult is part of an heterosexual marriage N = not to happy H = happy V = very happy hs Match the following probabilities to their notations. Inspiration: https:/www.ncbi.nim.nih.gov/pmc/articles/PMC3558785/2 The probability that a married adult will be not too happy P(S and in a same sex marriage. If a married adult is not too happy, what is the probability P(S and N) that they are in a same sex marriage? What is the probability that a married adult is not too P(N | S) happy in their marriage given they are in a same sex marriage? Find the probability that a married adult is in a same-sex P(S or N) marriage or not too happy with their marriage. The probability that a married adult is not too happy. P(S | N)