A source emits bit 0 with probability 1/3 and bit 1 with probability 2/3. The emitted bits are communicated to the receiver. The receiver decides for either 0 or 1 based on the received value R. It is given that the conditional density functions of R are
fR/0 (r) =
and fR/1 (r) = 
The minimum decision error probability is
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