The input X to the Binary Symmetric Channel (BSC) shown in the figure is ‘1’ with probability 0.8. The cross-over probability is \frac{1}{7}. If the received bit Y = 0, the conditional probability that ‘1’ was transmitted is _________.

GATE Electronics and Communications (EC) 2015 Shift 1 Solved Paper

Question : 59 of 65

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The input X to the Binary Symmetric Channel (BSC) shown in the figure is ‘1’ with probability 0.8. The cross-over probability is

\;{1}/{7}

. If the received bit Y = 0, the conditional probability that ‘1’ was transmitted is _________.

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