posted by Anonymous .
1) A secret admirer has been leaving you roses at the rate of 4/day. What is the probability that, on a given day, you will receive (a) exactly one rose (b) at least one rose?
2) Every student has a 1 in 9 chance of winning a certain prestigious scholarship. What is the probability that, in a group of 8 students, all of them win the scholarship? None of them wins it? At least one wins it?
1. Read the question. It will tell you the answer. Is four exactly one? Is it one or more?
2. All eight win: (1/9)^8 = 2.32*10^-8
Nobody wins: (8/9)^8 = 0.3987