. An academic department has just completed voting by secret ballot for a department head. The ballot box contains four slips with votes for candidate A and three slips with votes for candidate B....

. An academic department has just completed voting by secret ballot for a department head. The

ballot box contains four slips with votes for candidate A and three slips with votes for candidate

B. Suppose these slips are removed from the box one by one.

(a) List all possible outcomes.

(b) Suppose a running tally is kept as slips are removed. For what outcomes does A remain

ahead of B throughout the tally?