+4609 The probability of getting rain on any given day in June in Capital City is 1/10. What is the probability that it rains on at most 2 days in June? Express your answer as a decimal to the nearest thousandth.
+128406 There are 30 days in June and we want to choose any two of them....this is a binomial probability problem
"At most" means it either rains 0 days, 1 day or 2 days
0 days = (9/10)^30 = 0.042391158275216203514294433201
1 day = C(30,1) (1/10)(9/10)^29 = 0.14130386091738734504764811067
2 days = C(30,2) * (1/10)^2 * (9/10)^28 = 0.227656220366901833687877511635
The sum of these = 0.411351239559505382249820055506 ≈ 0.411
