A binary symmetric channel (BSC) with crossover probability p is shown in the figure below.

Question

Two BSCs with the same crossover probability are cascaded such that the output of channel-1 is fed as input to channel-2. The overall capacity of the equivalent channel in terms of the entropy function H(p) is

2H(p(1−p))

H(2p(1−p))

1−2H(p(1−p))

1−H(2p(1−p))