# Unbiased estimator of a probability?

Say, $$x_1{}$$... $$x_n_+_1{}$$ are iid Bernoulli random variables with parameter p.

I want an unbiased estimator for probability Pr($$\Sigma_{}$$ $$x_1_._._._n{}$$ > $$x_n_+_1{}$$ )

I have failed to establish E(1 - $$\Pi$$ $$x_i{}$$) is unbiased estimator for the probability.

Any hints? thanks.

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