A binary random variable X takes the value of 1 with probability 1/3. X is input to a cascade of 2 independent identical binary symmetric channels (BSCs) each with crossover probability 1/2. The output of BSCs is the random variables Y1 and Y2 as shown in the figure.

The value of H (Y1) + H (Y2) in bits is ______.

Enter numerical value using the virtual keypad. Round off where necessary.

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