Any hint how I can start to look at this problem?
In a certain community, 42% of households have subscriptions for the cable television station HBO. Of those households, 65% watch Game of Thrones which requires HBO. Overall, 70% of the households watch baseball, but only 20% of the households that watch baseball also watch Game of Thrones. Given that a household does NOT watch Game of Thrones, what is the probability they do watch baseball? Given that a household does NOT watch baseball, what is the probability that they have a subscription to HBO (HINT: Having HBO and watching baseball are conditionally independent)?