Re: Some more novel dice questions


G.E. Ivey wrote:
> > I know this is a very basic question on dice.
> >
> > 1. There are only 21 different ways that 2 dice can
> > land: 11, 12, 13,
> > 14, 15, 16, 22, 23, 24, 25, 26, 33, 34, 35, 36, 44,
> > 45, 46, 55, 56, 66.
>
> No, there are 36 EQUALLY LIKELY ways 2 dice can land. If each of the faces on one die are equally likely to come up then you will have to count "32" as different from "23".
>
> > Therefore, shouldn't the probability of rolling a 11
> > (both dice are a
> > 1) be 1/21? Or 1/36? Why/Why not?
> >
> > 2. Since order does not matter, what is the
> > probability that the sum
> > is 6? I would think that it is 3/21, since 15, 24, 33
> > all summ to this
> > total.
> >
> 15, 23, 33, 32, 51 all sum to 6. You have to count both 23 and 32 precisely BECAUSE "order does not matter".

Gee, I would have thought you exclude them because they sum to 5.

.

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