D.1. Abbreviated Binomial Table
Values within the table are the probability P getting exactly x successes on n trials.
| n # of trials | x successes on n trials | p (each trial) = | 0.125 (1/8) | 0.167 (1/6) | 0.250 (1/4) | 0.500 (1/2) |
|---|---|---|---|---|---|---|
| 2 | 0 | 0.7656 | 0.6944 | 0.5625 | 0.2500 | |
| 2 | 1 | 0.2188 | 0.2778 | 0.3750 | 0.5000 | |
| 2 | 2 | 0.0156 | 0.0278 | 0.0625 | 0.2500 | |
| Sum of P: | 1.0000 | 1.0000 | 1.0000 | 1.0000 | ||
| 3 | 0 | 0.6699 | 0.5787 | 0.4219 | 0.1250 | |
| 3 | 1 | 0.2871 | 0.3472 | 0.4219 | 0.3750 | |
| 3 | 2 | 0.0410 | 0.0694 | 0.1406 | 0.3750 | |
| 3 | 3 | 0.0020 | 0.0046 | 0.0156 | 0.1250 | |
| Sum of P: | 1.0000 | 1.0000 | 1.0000 | 1.0000 | ||
| 4 | 0 | 0.5862 | 0.4823 | 0.3164 | 0.0625 | |
| 4 | 1 | 0.3350 | 0.3858 | 0.4219 | 0.2500 | |
| 4 | 2 | 0.0718 | 0.1157 | 0.2109 | 0.3750 | |
| 4 | 3 | 0.0068 | 0.0154 | 0.0469 | 0.2500 | |
| 4 | 4 | 0.0002 | 0.0008 | 0.0039 | 0.0625 | |
| Sum of P: | 1.0000 | 1.0000 | 1.0000 | 1.0000 | ||
| 5 | 0 | 0.5129 | 0.4019 | 0.2373 | 0.0313 | |
| 5 | 1 | 0.3664 | 0.4019 | 0.3955 | 0.1563 | |
| 5 | 2 | 0.1047 | 0.1608 | 0.2637 | 0.3125 | |
| 5 | 3 | 0.0150 | 0.0322 | 0.0879 | 0.3125 ... |
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