Compsci 650 Applied Information Theory 1.1 Identifying Whether a Coin Is Biased
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چکیده
1.1 Identifying Whether a Coin is Biased Lemma 1 We need O( 1 2 ) coin tosses to discern a biased coin with the probability of 1 2 − for head (and obviously with the probability of 12 + for tail), from an unbiased coin. Proof Consider two hypothesises H1 and H2 where respectively denote biased and unbiased coins. In other words, we have the following hypothesises: { H1 : biased p(h) = 12 − H2 : unbiased p(h) = 12 (6)
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