23. If each member of a 12-person jury in which a unanimous decision is required tosses a coin to determine his or her decision, the probability that a given juror will cast a critical vote is . In some states, civil cases are tried before a six-person jury, and the quota for a decision is 5 votes. With such a jury, what is the probability that a given juror will cast a critical vote, if each juror uses a coin toss to determine his or her vote?
23.
A juror is critical in a coalition with four other like- minded jurors. There are four-member coalitions of the five other jurors, so the Banzhaf power index of this juror is 5. The probability is this index, divided by .