Comparing a Dice Sum to a Coin Count
Consider two independent random variables:
- $X$: the sum of 100 rolls of a fair 100-sided die (faces
, 2, \ldots, 100$).
- $Y$: the number of heads from 600 independent flips of a fair coin.
Is $P(X < Y)$ less than 1%? Use the Central Limit Theorem to justify your answer.
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