multiplied p-values

from random import random
import numpy as np
N = 100000
# alpha = .009 # This leads to a mean of about .05
alpha = .1 # This leads to a mean of about .33
a = np.zeros(N)
for i in range(N):
    p1 = random() # Get one p-value
    p2 = random() # Get another p-value
    p3 = p1 * p2 # Get the multiplied p-value
    if p3 < alpha: # Determine if the multiplied p-value is below alpa
        a[i] = 1
print a.mean()