醉汉游走计算打车的概率

改进后的代码实现：

import random

def random_walk_v2(n):
    x,y=0,0
    for i in range(n):
        (dx,dy)=random.choice([(0,1),(0,-1),(-1,0),(1,0)])  #四个方向选一个
        x+=dx
        y+=dy
    return (x,y)

for i in range(100):
    one_walk=random_walk_v2(20)
    print(one_walk,'How far away from (0,0):',abs(one_walk[0])+
          abs(one_walk[1]))

taking_a_taxi_counter=0
how_money_simulations=100
how_steps=200
legs_limits=100

for i in range(how_money_simulations):
    one_walk=random_walk_v2(how_steps)
    how_far=int(one_walk[0]**2+int(one_walk[1]**2))
    if how_far>=legs_limits:
#         print(one_walk,'It is too far away from home ~I am taking texi')
        taking_a_taxi_counter+=1
    else:
        pass
#         print(one_walk ,'I can walk home')
#     print(one_walk ,how_far)

print('% of taking a taxi home:',
      taking_a_taxi_counter/how_money_simulations)

每次运行都会出来一个概率：

(-1, -3) How far away from (0,0): 4
(-2, 0) How far away from (0,0): 2
(-3, 3) How far away from (0,0): 6
(2, -2) How far away from (0,0): 4
(-2, 6) How far away from (0,0): 8
(-4, 0) How far away from (0,0): 4
(-3, 1) How far away from (0,0): 4
(0, 0) How far away from (0,0): 0
(1, -1) How far away from (0,0): 2
(-1, -1) How far away from (0,0): 2
(1, -3) How far away from (0,0): 4
(2, -2) How far away from (0,0): 4
(5, -3) How far away from (0,0): 8
(2, 4) How far away from (0,0): 6
(-4, 2) How far away from (0,0): 6
(4, -4) How far away from (0,0): 8
(1, -3) How far away from (0,0): 4
(1, -3) How far away from (0,0): 4
(0, 2) How far away from (0,0): 2
(-6, -2) How far away from (0,0): 8
(-2, -2) How far away from (0,0): 4
(1, 5) How far away from (0,0): 6
(4, 4) How far away from (0,0): 8
(3, -1) How far away from (0,0): 4
(-5, -1) How far away from (0,0): 6
(-4, 0) How far away from (0,0): 4
(-1, -5) How far away from (0,0): 6
(1, 3) How far away from (0,0): 4
(-4, 0) How far away from (0,0): 4
(-2, 0) How far away from (0,0): 2
(-2, -4) How far away from (0,0): 6
(-4, 0) How far away from (0,0): 4
(-1, -3) How far away from (0,0): 4
(2, 4) How far away from (0,0): 6
(-2, 2) How far away from (0,0): 4
(2, -4) How far away from (0,0): 6
(-1, -1) How far away from (0,0): 2
(-3, 3) How far away from (0,0): 6
(1, 1) How far away from (0,0): 2
(0, 6) How far away from (0,0): 6
(-1, -3) How far away from (0,0): 4
(-4, -2) How far away from (0,0): 6
(1, -1) How far away from (0,0): 2
(0, -4) How far away from (0,0): 4
(-3, 3) How far away from (0,0): 6
(4, 0) How far away from (0,0): 4
(1, 3) How far away from (0,0): 4
(2, 6) How far away from (0,0): 8
(5, -1) How far away from (0,0): 6
(-4, -4) How far away from (0,0): 8
(2, 2) How far away from (0,0): 4
(-2, 0) How far away from (0,0): 2
(-4, -4) How far away from (0,0): 8
(-2, -4) How far away from (0,0): 6
(3, -1) How far away from (0,0): 4
(0, -2) How far away from (0,0): 2
(1, 5) How far away from (0,0): 6
(3, -1) How far away from (0,0): 4
(-3, -3) How far away from (0,0): 6
(1, 1) How far away from (0,0): 2
(1, -1) How far away from (0,0): 2
(-2, 4) How far away from (0,0): 6
(-2, -2) How far away from (0,0): 4
(-5, 1) How far away from (0,0): 6
(-2, 4) How far away from (0,0): 6
(1, -3) How far away from (0,0): 4
(2, -4) How far away from (0,0): 6
(1, 1) How far away from (0,0): 2
(0, 6) How far away from (0,0): 6
(3, 1) How far away from (0,0): 4
(-3, 1) How far away from (0,0): 4
(-2, 0) How far away from (0,0): 2
(-2, 0) How far away from (0,0): 2
(0, -2) How far away from (0,0): 2
(3, 5) How far away from (0,0): 8
(0, -2) How far away from (0,0): 2
(3, 1) How far away from (0,0): 4
(-5, 1) How far away from (0,0): 6
(3, 5) How far away from (0,0): 8
(-3, -5) How far away from (0,0): 8
(3, 1) How far away from (0,0): 4
(1, -1) How far away from (0,0): 2
(-2, 2) How far away from (0,0): 4
(-2, 0) How far away from (0,0): 2
(-2, -4) How far away from (0,0): 6
(3, 3) How far away from (0,0): 6
(-4, 2) How far away from (0,0): 6
(-3, 9) How far away from (0,0): 12
(-2, 6) How far away from (0,0): 8
(2, 2) How far away from (0,0): 4
(-1, 1) How far away from (0,0): 2
(3, -1) How far away from (0,0): 4
(1, 3) How far away from (0,0): 4
(0, 0) How far away from (0,0): 0
(5, -3) How far away from (0,0): 8
(-4, 4) How far away from (0,0): 8
(5, 5) How far away from (0,0): 10
(-1, -1) How far away from (0,0): 2
(-5, -3) How far away from (0,0): 8
(3, 1) How far away from (0,0): 4
% of taking a taxi home: 0.59