Each day Anson does the following experiment: rolls a fair, 6-sided die repeatedly until he gets either a 1 or a 2 and counts the number of rolls needed.

(a) Approximate the probability that in a year there are at least 7 days when he needed more than 8 rolls. Use either the normal or the Poisson approximation, whichever is more appropriate (and justify your choice). Assume a year has 365 days.

(b) Approximate the probability that in a year there are more than 7 days when he needed exactly 10 rolls. Use either the normal or the Poisson approximation, whichever is more appropriate (and justify your choice).