Sample Space of Tossing n Coins

from random import shuffle

def cointoss(n):
    h, t = 'H', 'T'
    SampleS = [h*n, t*n]

    if n == 1:
        print(SampleS)

    else:
        L1 = list(h*n)+list(t*n)

        while True:
            shuffle(L1)

            event = L1[:n]
            str1 = ''

            for i in event:
                str1 += i

            else:
                if str1 not in SampleS:
                    SampleS.append(str1)
                    str1 = ''

                else:
                    continue

            if len(SampleS) == 2**n:
                break

        SampleS.sort()

        for i in ('H','T'):
            for j in SampleS:
                if i == j[0]:
                    print(j, end=", ")
            else:
                print()

cointoss(4)