(а) (b) (с)
The bean machine, also known as a quincunx or the Galton box, is a device for statistics experiments named after English scientist Sir Francis Galton. It consists of an upright board with evenly spaced nails (or pegs) in a triangular pattern, as shown in Figure 10.15. Balls are dropped from the opening of the board. Every time a ball hits a nail, it has a 50% chance of falling to the left or to the right. The piles of balls are accumulated in the slots at the bottom of the board.
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prompt the user to enter the number of the balls and the number of the slots in the machine. Simulate the falling of each ball by printing its path. For example, the path for the ball in Figure 10.15b is LLRRLLR and the path for the ball in Figure 10.15c is RLRRLRR. Display the final buildup of the balls in the slots in a histogram.
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