Hearthstone

[Frag]

Some math on the chances if you are mulliganing for a single card that you will be able to play that card on the turn you have the mana to do so.

Where N is the copies of the card in your deck and C is the casting cost of the card and where you do not draw any additional cards through game effects.

Playing First

Code:

N\C         1         2         3         4         5         6         7
1        22.00%    25.00%    28.00%    31.00%    34.00%    37.00%    40.00%
2        39.71%    42.03%    44.35%    46.67%    48.99%    51.31%    53.63%
3        53.86%    55.64%    57.41%    59.19%    60.96%    62.74%    64.51%
4        65.07%    66.41%    67.75%    69.10%    70.44%    71.78%    73.13%
5        73.85%    74.86%    75.86%    76.87%    77.87%    78.88%    79.89%
6        80.67%    81.41%    82.16%    82.90%    83.64%    84.39%    85.13%
7        85.91%    86.45%    86.99%    87.53%    88.07%    88.62%    89.16%
8        89.88%    90.26%    90.65%    91.04%    91.43%    91.82%    92.21%
9        92.85%    93.12%    93.40%    93.67%    93.95%    94.22%    94.50%
10        95.04%    95.23%    95.42%    95.61%    95.80%    95.99%    96.18%

Playing Second

Code:

N\C         1         2         3         4         5         6         7
1         27.78%    30.67%    33.56%    36.44%    39.33%    42.22%    45.11%
2         48.47%    50.54%    52.60%    54.66%    56.72%    58.78%    60.84%
3         63.72%    65.17%    66.62%    68.07%    69.53%    70.98%    72.43%
4         74.82%    75.83%    76.83%    77.84%    78.85%    79.86%    80.86%
5         82.79%    83.48%    84.17%    84.86%    85.54%    86.23%    86.92%
6         88.44%    88.90%    89.36%    89.82%    90.29%    90.75%    91.21%
7         92.37%    92.68%    92.98%    93.29%    93.59%    93.90%    94.20%
8         95.07%    95.26%    95.46%    95.66%    95.86%    96.05%    96.25%
9         96.88%    97.01%    97.13%    97.26%    97.38%    97.51%    97.63%
10        98.08%    98.15%    98.23%    98.31%    98.38%    98.46%    98.54%