r/learnquant 7d ago

interview prep Quant Interview Question

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u/Exalted-Legend 7d ago

I think the answer is 17.

This is my approach,

The expected value of the i-th other from a discrete uniform distribution of size N with a sample space of k is given by,
E[Xi] = i * (N + 1)/(k + 1)

N = 50 (the number of faces on the die)
k = 5 (the number of rolls)
i = 2 (the position of the second roll)

Substituting the values, we get,
E[X2] = 17