Owen,

Yes, you are right, it is (2/3)^n, call it p.

Then the probability of exactly 1 such happening in t repetitions of the
n-flip experiment is tp(1-p)^(t-1) (that's a binomial probability),

or if you mean at least 1 happening, the probability is 1-(1-p)^t (i.e., 1 -
prob of no such happenings).

George

On Tue, May 4, 2010 at 4:18 PM, Owen Densmore <[email protected]> wrote:

> My probability is failing me.  Could someone answer this?
>
> I have a very biased coin that comes up 2/3 heads, 1/3 tails.  I want to do
> an experiment of n coin flips.
>
> The probability that all are heads is (2/3)^n, right?
>
> What I'm interested is the related question:  Lets suppose I repeat the
> experiment t times.  How likely am I to get all heads once in a series of t
> sets of n flips?
>
>    -- Owen
>
>
>
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