6. Every day, I wake up and then immediately begin rolling a 20 sided die. I roll this die until I roll either a 19 or a 20, and then I stop and begin my day. a) On any given day, what is the probability that I roll my die less than 3 times? [3 marks total] b) On any given day, what is the probability that I need to roll more than 30 times? [3 marks total] c) Throughout any given week (Le. 7 days), what is the probability that on at least two of those days, I roll less than three times? [4 marks total]