Question: Question 3

a) The governing board of a small corporation consists of the chairman and six other members, with a majority vote among these seven deciding any given issue. Suppose that the chairman wants to pass a certain motion, but is not sure of its support. Suppose the other six members vote independently, each with probability 40% of voting for the motion. What is the chance that it will pass?

b) If the chairman had two firm allies who were certain to vote for the motion, how would that improve the chances of its passing? (Assume that the other four members are the same as in part a)