PYTHON
Php
Coin flip (A)
p107 Probability of 6 in a row for 100 coin flip trials.
"""Coin Flip:
A program to find out how often
a line of six heads or six tails comes up
in a randomly generated list of heads and tails."""
import random
streaks = 0
for i in range(10000): # Run experiment multiple times
HT = [] # Create a lists of 100 heads or tails (flips)
for j in range(100):
if random.randint(0,1) == 0:
HT.append('H')
else:
HT.append('T')
print(HT)
for k in range(len(HT)): # Search streaks of 6 heads or tails
count = 0
for m in range(6):
try:
if HT[k] == 'H' and HT[k] == HT[k+m]:
count += 1
else:
count = 0
break
except IndexError: # item 95
break
if count == 6:
print('\x1b[6;30;42m' + str(HT[k:k+6]) + '\x1b[0m')
streaks += 1
posibilities = 95 * 10000 # maxim posibilities
percentage = streaks * 100 / posibilities
probability = percentage / 100
print("Streaks: ", streaks)
print("Posibilities: ", posibilities)
print("Probability: ", probability)
print("Math 1/2^6: ", 1/2**6)
# Streaks: 14861
# Posibilities: 950000
# Probability: 0.01564315789473684
# Math 1/2^6: 0.015625
"""Coin Flip:
A program to find out how often
a line of six heads or six tails comes up
in a randomly generated list of heads and tails.
Version 2"""
import random
streaks = 0
for i in range(10000):
HT = random.choices('HT', k=100) # Look Here
for k in range(len(HT)):
count = 0
for m in range(6):
try:
if HT[k] == 'H' and HT[k] == HT[k+m]:
count += 1
else:
break
except IndexError: # item 95
break
if count == 6:
streaks += 1
posibilities = 95 * 10000
percentage = streaks * 100 / posibilities
probability = percentage / 100
print("Streaks: ", streaks)
print("Posibilities: ", posibilities)
print("Probability: ", probability)
print("Math 1/2^6: ", 1/2**6)
# Streaks: 14861
# Posibilities: 950000
# Probability: 0.01564315789473684
# Math 1/2^6: 0.015625
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