A coin is equally likely to be either B1/3 or B2/3. To figure out the bias, we toss the coin 99 times and declare B1/3 if the number of heads is less than 49.5 and B2/3 otherwise. Bound the error probability using the Chernoff bound derived in lecture video (in its final form, after simplifcation).

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A coin is equally likely to be either
B1/3 or B2/3. To figure out the bias,
we toss the coin 99 times and declare
B1/3 if the number of heads is less
than 49.5 and B2/3 otherwise.
Bound the error probability using the
Chernoff bound derived in lecture
video (in its final form, after
simplifcation).
Transcribed Image Text:A coin is equally likely to be either B1/3 or B2/3. To figure out the bias, we toss the coin 99 times and declare B1/3 if the number of heads is less than 49.5 and B2/3 otherwise. Bound the error probability using the Chernoff bound derived in lecture video (in its final form, after simplifcation).
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