Nurses at Gracie State Hospital keep track of patient medicine intake. Every day, they survey ten patients and ask them if they took their medicine. The probability of a patient responding yes is 80%. However, on rainy days, which occur 15% of the time, the probability of them responding yes (that they have taken their medications) drops by 25%. What is the probability that it rained today, given that only 6 out of 10 patients took their medication