In 1994. the National Basketball Association changed the process of the draft lottery so that the poorest teams had a much higher probability of getting an early pick. As of 2008. 16 teams qualify for the playoffs and 14 participate in the draft. To determine the winner. 14 ping pong balls numbered 1 to 14 arc placed in a hopper and thoroughly mixed. Then four balls arc randomly selected from the hopper. The team holding the same four numbers, in any order, is awarded the pick. As an example, if balls 3-5-1-2 were drawn, the team holding this combination of numbers (1-2-3-5) w ins the pick. (If 11-12-13-14 is drawn, a new set of balls is drawn.) The balls are returned to the hopper and another set of four balls is used to identify the team receiving the second pick, ignoring any combinations that belong to the team receiving the first pick. Similarly, the team receiving the third pick is identified. The remaining 11 teams are awarded the remaining picks in order of their rankings. Ranking the teams from worst (1) to best (14). the number of combinations awarded each team in the lottery is shown in the table that follows. Let X be the pick the worst team gets from this lottery. Solution.