A national polling company polled Canadians about their coffee consumption and made the following discovery: 83% of Canadians have at least one cup of coffee a day. Two Canadians are randomly chosen on a randomly chosen day. What is the probability
a) Suppose you are to randomly inspect three Canadians on a randomly chosen day. Find the probability that at least two of the three has consumed at least one cup of coffee.
b) Suppose you are to randomly pick n-Canadians until the probability that at least one of them has consumed at least one cup of coffee (on the randomly chosen day) is at least 0.98. How large must n be?