a) use the loop : play the game 10000,100000,1000000times seperately. calculate the expected payoff, record excecution time of each round

b) use veterization programming: play the game 10000,100000,1000000times seperately. calculate the expected payoff, record running time eaxh time.

please show a) and b)

the pay off condition is

if :

num>= 4

payoff = 2

else:

payoff= -1

import random total payoff = 0 for l in range (0, 100000): dice_num= random.randint(1,6) if dice_num>=4 Dayoff-2 else: payoffs-1 expected payoff = total payoff / number of rounds print "expected payoff=", expected_payoff) I File "cipython-input-22 28360466c1ff>", line 12 expected payoff = total payoff / number of rounds SyntaxError: invalid syntax import random total payoff = 0 for l in range (0, 100000): dice_num= random.randint(1,6) if dice_num>=4 Dayoff-2 else: payoffs-1 expected payoff = total payoff / number of rounds print "expected payoff=", expected_payoff) I File "cipython-input-22 28360466c1ff>", line 12 expected payoff = total payoff / number of rounds SyntaxError: invalid syntax