In the game of Plinko, contestants drop a disk into one of the slots at the top of the upright board. The disk is equally likely to go left or right at each peg it encounters. The board shown below, which will be used for the calculations, is a smaller version than the one used in game shows. 3) Determine the probability that a disk lands in the $5000 prize slot given that it is dropped from: You can show work on the Plinko boards. ' i) Position 1 _ ii) Position 2 * iii) Position 3 1 I :I I I e 1 a a I I I I I ll I I e I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I b) If the contestant has 4 disks, and assuming the contestant knows the optimal position to drop the disk, what is the probability that they win $20,000? [I mark]