[net.games.rogue] Probability of getting 40 HP at level 5

flinn@seismo.UUCP (E. A. Flinn) (12/03/83)

In a previous posting, somebody advised that if you don't have at least

40 hit points by experience level 5, you might as well just quit, since
you can't survive very long amid trolls and xorns with few hit points.

It's not difficult to calculate the probability that you will get to
40 HP from smaller numbers.  Hit points are apparently awarded at each
level on the basis of throwing a ten-sided die, i.e., you get a random
number between 1 and 10.  The expected value of what you gain at each
level is thus 5.5; the expected value of where you are at experience
level 5, after four jumps, is 12 + 4 x 5.5 = 34, so half the time you
will arrive at level 5 above 34 and half the time below.

The following table shows the probability of arriving at 40 from
lower levels.


Present                       Level
Hit Pts     1        2        3        4

 12       .026   
 13                .008
 14                .008
 15                .008
 16                .027
 17                .027
 18                .027
 19                .064

 20                .064     .001
 21                .064     .001
 22                         .04
 23                         .04
 24                         .09

 25                         .09
 26                         .16
 27                         .16
 28                         .25
 29                         .25
 
 30                         .36       .1
 31                         .36       .2
 32                         .49       .3
 33                                   .4
 34                                   .5

 35                                   .6
 36                                   .7
 37                                   .8
 38                                   .9
 39                                  1.0

robison@eosp1.UUCP (12/05/83)

I wonder whether people's experience wil match the calculations
posted, based upon the random throw of a 10-sieded die.
>From my experience in rogue 3.6 and 5.2, I believe that each
rogue is assigned several characteristics similar to AD&D
characteristics that are not shown on the screen.  In particular:

CONstitution: A rogue with a good constitution is more likely to
get near 10 on each level increment.  A bad rogue will get nearer one.
(In defence of this hypothesis -- the number of rogues that routinely
get 8 to 10 points per level for a while, or who get 1 to 3 points per
level, is far greater than what one would expect.)

INTelligence: In Rogue 3.6, where you can fight many Umber Hulks and
stay alive quite nicely with a magic arrow, I discovered a likely
correlation between the following three things, based, I think, upon
the Rogues's intelligence:

	1) How confused you get from a potion of confusion.
	2) Ability to handle wands of fire, ice, lightning accurately
	3) How confused you get from Umber hulks.

	["not very confused" means you can move in the direction of your
	choice a higher percentage of the time.  There is littel
	correlation to the duration of confusion]

DEXterity: It is perfectly obvious that some rogues start off much more
dextrous than others.  This is really noticeable in Rogue 5.2.

				- Keremath,  care of:
				  Robison
			          decvax!ittvax!eosp1
				  or:   allegra!eosp1

steven@qubix.UUCP (Steven Maurer) (12/09/83)

    I am sorry to disallusion you, but the "hidden characteristrics",
    (INT, CON, etc.), are so well hidden, you cannot find them in the
    code.    Luck is such an amazing thing, people just will not believe
    that they are having a run of it, for good, or for bad.


Steven Maurer