리부트인데 원더 블랙 공21이 탐나서 계산해보았습니다.
안전하게 80% 기준 80개.. 40만.. 포기했습니다.
100개 90%, 120개 95%, 170개 99% 입니다.
| | n번 했을 때 뽑는 종류 수 | | | | |
| n | | 0개 | | 1개 | | 2개 | | 3개 | | n기댓값 |
| 3 | | 0.73 | | 0.2513 | | 0.0185 | | 0.0002 | | 55.220884 |
| 4 | | 0.6573 | | 0.3073 | | 0.0346 | | 0.0008 | | 1개 4860 |
| 5 | | 0.5918 | | 0.3524 | | 0.0538 | | 0.002 | | 268373.49 |
| 6 | | 0.5329 | | 0.3879 | | 0.0755 | | 0.0038 | | 1개 5400 |
| 7 | | 0.4798 | | 0.4152 | | 0.0987 | | 0.0063 | | 298192.77 |
| 8 | | 0.432 | | 0.4354 | | 0.123 | | 0.0096 | | |
| 9 | | 0.389 | | 0.4496 | | 0.1478 | | 0.0136 | | |
| 10 | | 0.3502 | | 0.4584 | | 0.1728 | | 0.0185 | | |
| 11 | | 0.3153 | | 0.4629 | | 0.1975 | | 0.0243 | | |
| 12 | | 0.2839 | | 0.4636 | | 0.2217 | | 0.0308 | | |
| 13 | | 0.2557 | | 0.4611 | | 0.2451 | | 0.0382 | | |
| 14 | | 0.2302 | | 0.4559 | | 0.2676 | | 0.0463 | | |
| 15 | | 0.2073 | | 0.4486 | | 0.2889 | | 0.0552 | | |
| 16 | | 0.1866 | | 0.4394 | | 0.3091 | | 0.0648 | | |
| 17 | | 0.168 | | 0.4288 | | 0.3281 | | 0.0751 | | |
| 18 | | 0.1513 | | 0.4171 | | 0.3456 | | 0.086 | | |
| 19 | | 0.1362 | | 0.4045 | | 0.3619 | | 0.0974 | | |
| 20 | | 0.1227 | | 0.3912 | | 0.3767 | | 0.1095 | | |
| 21 | | 0.1104 | | 0.3774 | | 0.3902 | | 0.122 | | |
| 22 | | 0.0994 | | 0.3634 | | 0.4023 | | 0.1349 | | |
| 23 | | 0.0895 | | 0.3491 | | 0.413 | | 0.1483 | | |
| 24 | | 0.0806 | | 0.3349 | | 0.4225 | | 0.162 | | |
| 25 | | 0.0726 | | 0.3207 | | 0.4307 | | 0.176 | | |
| 26 | | 0.0654 | | 0.3066 | | 0.4377 | | 0.1903 | | |
| 27 | | 0.0589 | | 0.2928 | | 0.4435 | | 0.2048 | | |
| 28 | | 0.053 | | 0.2792 | | 0.4483 | | 0.2196 | | |
| 29 | | 0.0477 | | 0.2659 | | 0.4519 | | 0.2345 | | |
| 30 | | 0.043 | | 0.253 | | 0.4546 | | 0.2495 | | |
| 31 | | 0.0387 | | 0.2405 | | 0.4563 | | 0.2645 | | |
| 32 | | 0.0348 | | 0.2284 | | 0.4571 | | 0.2797 | | |
| 33 | | 0.0314 | | 0.2167 | | 0.4571 | | 0.2949 | | |
| 34 | | 0.0282 | | 0.2054 | | 0.4563 | | 0.31 | | |
| 35 | | 0.0254 | | 0.1946 | | 0.4548 | | 0.3252 | | |
| 36 | | 0.0229 | | 0.1842 | | 0.4526 | | 0.3403 | | |
| 37 | | 0.0206 | | 0.1743 | | 0.4498 | | 0.3553 | | |
| 38 | | 0.0186 | | 0.1647 | | 0.4465 | | 0.3703 | | |
| 39 | | 0.0167 | | 0.1556 | | 0.4426 | | 0.3851 | | |
| 40 | | 0.015 | | 0.147 | | 0.4382 | | 0.3998 | | |
| 41 | | 0.0135 | | 0.1387 | | 0.4334 | | 0.4143 | | |
| 42 | | 0.0122 | | 0.1309 | | 0.4282 | | 0.4287 | | |
| 43 | | 0.011 | | 0.1234 | | 0.4227 | | 0.4429 | | |
| 44 | | 0.0099 | | 0.1163 | | 0.4169 | | 0.457 | | |
| 45 | | 0.0089 | | 0.1095 | | 0.4108 | | 0.4708 | | |
| 46 | | 0.008 | | 0.1032 | | 0.4044 | | 0.4844 | | |
| 47 | | 0.0072 | | 0.0971 | | 0.3978 | | 0.4979 | | |
| 48 | | 0.0065 | | 0.0914 | | 0.3911 | | 0.5111 | | |
| 49 | | 0.0059 | | 0.086 | | 0.3841 | | 0.5241 | | |
| 50 | | 0.0053 | | 0.0808 | | 0.3771 | | 0.5368 | | |
| 51 | | 0.0047 | | 0.076 | | 0.3699 | | 0.5493 | | |
| 52 | | 0.0043 | | 0.0714 | | 0.3627 | | 0.5616 | | |
| 53 | | 0.0038 | | 0.0671 | | 0.3554 | | 0.5736 | | |
| 54 | | 0.0035 | | 0.063 | | 0.3481 | | 0.5854 | | |
| 55 | | 0.0031 | | 0.0592 | | 0.3407 | | 0.597 | | |
| 56 | | 0.0028 | | 0.0556 | | 0.3333 | | 0.6083 | | |
| 57 | | 0.0025 | | 0.0522 | | 0.3259 | | 0.6194 | | |
| 58 | | 0.0023 | | 0.0489 | | 0.3186 | | 0.6302 | | |
| 59 | | 0.002 | | 0.0459 | | 0.3112 | | 0.6408 | | |
| 60 | | 0.0018 | | 0.0431 | | 0.304 | | 0.6511 | | |
| 61 | | 0.0017 | | 0.0404 | | 0.2967 | | 0.6612 | | |
| 62 | | 0.0015 | | 0.0379 | | 0.2896 | | 0.6711 | | |
| 63 | | 0.0013 | | 0.0355 | | 0.2825 | | 0.6807 | | |
| 64 | | 0.0012 | | 0.0333 | | 0.2754 | | 0.69 | | |
| 65 | | 0.0011 | | 0.0312 | | 0.2685 | | 0.6992 | | |
| 66 | | 0.001 | | 0.0292 | | 0.2617 | | 0.7081 | | |
| 67 | | 0.0009 | | 0.0274 | | 0.2549 | | 0.7168 | | |
| 68 | | 0.0008 | | 0.0257 | | 0.2483 | | 0.7253 | | |
| 69 | | 0.0007 | | 0.024 | | 0.2417 | | 0.7335 | | |
| 70 | | 0.0006 | | 0.0225 | | 0.2353 | | 0.7415 | | |
| 71 | | 0.0006 | | 0.0211 | | 0.229 | | 0.7493 | | |
| 72 | | 0.0005 | | 0.0197 | | 0.2228 | | 0.7569 | | |
| 73 | | 0.0005 | | 0.0185 | | 0.2167 | | 0.7643 | | |
| 74 | | 0.0004 | | 0.0173 | | 0.2107 | | 0.7715 | | |
| 75 | | 0.0004 | | 0.0162 | | 0.2049 | | 0.7785 | | |
| 76 | | 0.0003 | | 0.0152 | | 0.1992 | | 0.7853 | | |
| 77 | | 0.0003 | | 0.0142 | | 0.1936 | | 0.7919 | | |
| 78 | | 0.0003 | | 0.0133 | | 0.1881 | | 0.7984 | | |
| 79 | | 0.0003 | | 0.0124 | | 0.1827 | | 0.8046 | | |
| 80 | | 0.0002 | | 0.0116 | | 0.1775 | | 0.8107 | | |
| 81 | | 0.0002 | | 0.0109 | | 0.1724 | | 0.8166 | | |
| 82 | | 0.0002 | | 0.0102 | | 0.1674 | | 0.8223 | | |
| 83 | | 0.0002 | | 0.0095 | | 0.1625 | | 0.8278 | | |
| 84 | | 0.0001 | | 0.0089 | | 0.1577 | | 0.8332 | | |
| 85 | | 0.0001 | | 0.0083 | | 0.1531 | | 0.8385 | | |
| 86 | | 0.0001 | | 0.0078 | | 0.1485 | | 0.8436 | | |
| 87 | | 0.0001 | | 0.0073 | | 0.1441 | | 0.8485 | | |
| 88 | | 1E-04 | | 0.0068 | | 0.1398 | | 0.8533 | | |
| 89 | | 9E-05 | | 0.0064 | | 0.1356 | | 0.8579 | | |
| 90 | | 8E-05 | | 0.006 | | 0.1315 | | 0.8624 | | |
| 91 | | 7E-05 | | 0.0056 | | 0.1276 | | 0.8668 | | |
| 92 | | 6E-05 | | 0.0052 | | 0.1237 | | 0.871 | | |
| 93 | | 6E-05 | | 0.0049 | | 0.1199 | | 0.8751 | | |
| 94 | | 5E-05 | | 0.0045 | | 0.1163 | | 0.8791 | | |
| 95 | | 5E-05 | | 0.0042 | | 0.1127 | | 0.883 | | |
| 96 | | 4E-05 | | 0.004 | | 0.1093 | | 0.8867 | | |
| 97 | | 4E-05 | | 0.0037 | | 0.1059 | | 0.8903 | | |
| 98 | | 3E-05 | | 0.0035 | | 0.1026 | | 0.8939 | | |
| 99 | | 3E-05 | | 0.0032 | | 0.0995 | | 0.8973 | | |
| 100 | | 3E-05 | | 0.003 | | 0.0964 | | 0.9006 | | |