prob of beating N opponents given prob of beating 1 opponent

[mwette]

I want to make sure that I have this right for texas hold'em.
If I know my pocket cards and any common cards then I
should be able to compute the odds of beating one opponent.
[In fact I have written code to use poker-eval library to
do this.] If the probability that I beat one opponent is p,
then is the probability that I bean N opponents roughly N*p?