6 In a skiing resort, for each day during the winter season, the probability that snow will fall on that day is 0.2 , independently of any other day. The first day of the winter season is 1 December. Find, for the winter season,
- the probability that the first snow falls on 20 December,
- the probability that the first snow falls before 5 December,
- the earliest date in December such that the probability that the first snow falls on or before that date is at least 0.95 .