Let x be a random variable denoting the outcomes of a fair dice what is the min entropy of x

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I know that $H(x) = -\sum(p(x_i)\log(p(x_i))$

And I have found $P(x_i)=1/6\cdot(5/6)^{i-1}$

However I do not know how to calculate this when I put $P(x_i)$ into the formula $H(x)$

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Let X be a random variable denoting the outcomes of a fair dice....

Let x be a random variable denoting the outcomes of a fair dice what is the min entropy of x

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Let X be a random variable denoting the outcomes of a fair dice. What is the min-entropy of X? Answer: 6 X

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Let x be a random variable denoting the outcomes of a fair dice what is the min entropy of x
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Let x be a random variable denoting the outcomes of a fair dice what is the min entropy of x

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Let x be a random variable denoting the outcomes of a fair dice what is the min entropy of x

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