Message no. 1

From:	"Rent-a-Lemming" <ratinox@******.COE.NORTHEASTERN.EDU>
Subject:	probability chart (redux)
Date:	Tue, 2 Feb 93 21:36:40 CET

A few people complained that their mail readers did some nasty stuff to the
long lines (something that they *shouldn't* do, but do anyway). So here's
the chart, chopped at 74 characters. T#'s 16+ appear below the first half
of the chart.

Number of dice rolled Target Number
v
2 3 4 5 6-7 8 9 10 11 12-13 14 15
1 0.833 0.667 0.500 0.333 0.167 0.139 0.111 0.083 0.056 .0278 .0231 .0185
2 1.667 1.333 1.000 0.667 0.333 0.278 0.222 0.167 0.111 .0556 .0463 .0370
3 2.500 2.000 1.500 1.000 0.500 0.417 0.333 0.250 0.167 .0833 .0694 .0556
4 3.333 2.667 2.000 1.333 0.667 0.556 0.444 0.333 0.222 .1111 .0926 .0741
5 4.167 3.333 2.500 1.667 0.833 0.694 0.556 0.417 0.278 .1389 .1157 .0926
6 5.000 4.000 3.000 2.000 1.000 0.833 0.667 0.500 0.333 .1667 .1389 .1111
7 5.833 4.667 3.500 2.333 1.167 0.972 0.778 0.583 0.389 .1944 .1620 .1296
8 6.667 5.333 4.000 2.667 1.333 1.111 0.889 0.667 0.444 .2222 .1852 .1481
9 7.500 6.000 4.500 3.000 1.500 1.250 1.000 0.750 0.500 .2500 .2083 .1667
10 8.333 6.667 5.000 3.333 1.667 1.389 1.111 0.833 0.556 .2778 .2315 .1852
11 9.167 7.333 5.500 3.667 1.833 1.528 1.222 0.917 0.611 .3056 .2546 .2037
12 10.00 8.000 6.000 4.000 2.000 1.667 1.333 1.000 0.667 .3333 .2778 .2222
13 10.83 8.667 6.500 4.333 2.167 1.806 1.444 1.083 0.722 .3611 .3009 .2407
14 11.67 9.333 7.000 4.667 2.333 1.944 1.556 1.167 0.778 .3889 .3241 .2593
15 12.50 10.00 7.500 5.000 2.500 2.083 1.667 1.250 0.833 .4167 .3472 .2778
16 13.33 10.67 8.000 5.333 2.667 2.222 1.778 1.333 0.889 .4444 .3704 .2963
17 14.17 11.33 8.500 5.667 2.833 2.361 1.889 1.417 0.944 .4722 .3935 .3148
18 15.00 12.00 9.000 6.000 3.000 2.500 2.000 1.500 1.000 .5000 .4167 .3333
19 15.83 12.67 9.500 6.333 3.167 2.639 2.111 1.583 1.056 .5278 .4398 .3519
20 16.67 13.33 10.00 6.667 3.333 2.778 2.222 1.667 1.111 .5556 .4630 .3704

16 17 18-19 20 21 22 23 24-25 26
1 .0139 .0093 .0046 .0039 .0031 .0023 .0015 .0008 .0006
2 .0278 .0185 .0093 .0077 .0062 .0046 .0031 .0015 .0013
3 .0417 .0278 .0139 .0116 .0093 .0069 .0046 .0023 .0019
4 .0556 .0370 .0185 .0154 .0123 .0093 .0062 .0031 .0026
5 .0694 .0463 .0231 .0193 .0154 .0116 .0077 .0039 .0032
6 .0833 .0556 .0278 .0231 .0185 .0139 .0093 .0046 .0039
7 .0972 .0648 .0324 .0270 .0216 .0162 .0108 .0054 .0045
8 .1111 .0741 .0370 .0309 .0247 .0185 .0123 .0062 .0051
9 .1250 .0833 .0417 .0347 .0278 .0208 .0139 .0069 .0058
10 .1389 .0926 .0463 .0386 .0309 .0231 .0154 .0077 .0064
11 .1528 .1019 .0509 .0424 .0340 .0255 .0170 .0085 .0071
12 .1667 .1111 .0556 .0463 .0370 .0278 .0185 .0093 .0077
13 .1806 .1204 .0602 .0502 .0401 .0301 .0201 .0100 .0084
14 .1944 .1296 .0648 .0540 .0432 .0324 .0216 .0108 .0090
15 .2083 .1389 .0694 .0579 .0463 .0347 .0231 .0116 .0096
16 .2222 .1481 .0741 .0617 .0494 .0370 .0247 .0123 .0103
17 .2361 .1574 .0787 .0656 .0525 .0394 .0262 .0131 .0109
18 .2500 .1667 .0833 .0694 .0556 .0417 .0278 .0139 .0116
19 .2639 .1759 .0880 .0733 .0586 .0440 .0293 .0147 .0122
20 .2778 .1852 .0926 .0772 .0617 .0463 .0309 .0154 .0129

This is the average number of successes that will roll when rolling the
specified number of dice with a given Target Number. For example, if you
roll 18 dice with a T# of 10, you will get an average of 1.5 successes; if
you roll 6 dice with a T# of 4, you will get an average of 3 successes. The
6-7, 12-13, 18-19 and 24-25 Target Numbers are each combined into a single
column because they have identical probabilities.