Starts at 0, then moves left (lemon) or right (rose) with 50/50 chance (or alter the % chance with slider) 14 times (or alter # of "steps") Green bars show relative number of times walker ends up at each spot after a trial of 50 (or change # of trials) Bell curve emerges from a random walk of many steps
Because random steps tend to cancel each other out, the walker usually ends up near the start, with far-away positions being rare (bell curve distribution) Most walks end near the middle Fewer walks end far away (left or right) The result is a bell curve distribution of probabilities In a simple random walk, each step is independent and has a small random change, such as moving one unit to the left or right with equal probability. After a large number of steps, the final position of the walker depends on the cumulative effect of all these random movements. While each individual step is unpredictable, the overall distribution of possible final positions begins to form a smooth bell-shaped pattern centered around the starting point. An odd number of steps means walker ends at an odd integer position (+ or 1). Even number of steps means walker ends up on zero or an even number.
