Case 1: p = 0, n = 5
    0 games out of 1
    0 games out of 2
    0 games out of 3
    0 games out of 4
    0 games out of 5
Case 2: p = 50, n = 4
    1 games out of 2
    2 games out of 4
    3 games out of 6
    4 games out of 8
Case 3: p = 75, n = 5
    3 games out of 4
    6 games out of 8
    9 games out of 12
    12 games out of 16
    15 games out of 20
Case 4: p = 99, n = 5
    99 games out of 100
    100 games out of 101
    101 games out of 102
    102 games out of 103
    103 games out of 104
Case 5: p = 37, n = 10
    3 games out of 8
    6 games out of 16
    9 games out of 24
    10 games out of 27
    11 games out of 29
    12 games out of 32
    13 games out of 35
    14 games out of 37
    15 games out of 40
    16 games out of 43
Case 6: p = 1, n = 10
    1 games out of 51
    2 games out of 101
    3 games out of 151
    4 games out of 201
    5 games out of 251
    6 games out of 301
    7 games out of 351
    8 games out of 401
    9 games out of 451
    10 games out of 501
Case 7: p = 2, n = 10
    1 games out of 34
    2 games out of 67
    3 games out of 101
    4 games out of 134
    5 games out of 167
    6 games out of 201
    7 games out of 234
    8 games out of 267
    9 games out of 301
    10 games out of 334