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Given a simple image of size $10 \times 10$ whose histogram models the symbol probabilities and is given by

$P_{1}$ $P_{2}$ $P_{3}$ $P_{4}$
a b c d

 The first order estimate of image entropy is maximum when 

  1. $a = 0, b = 0, c = 0, d = 1$
  2. $a=\frac{1}{2}, b=\frac{1}{2}, c=0, d=0$
  3. $a=\frac{1}{3}, b=\frac{1}{3}, c=\frac{1}{3}, d=0$
  4. $a=\frac{1}{4}, b=\frac{1}{4}, c=\frac{1}{4}, d=\frac{1}{4}$
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