names = ['A', 'B', 'C', 'D']
P = [0.9, 0.5, 0.2, 0]
ERROR = 0.05


def plus(x):
    return P[x] * (1 - ERROR)


def minus(x):
    return 1 - plus(x)


two_negatives = sum(map(lambda i: minus(i) ** 2, range(4)))
C = list(map(lambda i: two_negatives - minus(i) ** 2, range(4)))
total = sum(map(lambda i: C[i] * plus(i), range(4)))
res = list(map(lambda i: C[i] * plus(i) / total, range(4)))
for ind in range(4):
    print("The answer for {} is {}".format(names[ind], res[ind]))