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You estimate $\pi$ by drawing points uniformly in the unit square and counting the fraction inside the quarter circle, multiplied by four. Roughly how many points do you need for a standard error of $0.01$ ? Give the nearest thousand.

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You estimate π\piπ by drawing points uniformly in the unit square and counting the fraction inside the quarter circle, multiplied by four. Roughly how many points do you need for a standard error of 0.010.010.01? Give the nearest thousand.

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You estimate $\pi$ by drawing points uniformly in the unit square and counting the fraction inside the quarter circle, multiplied by four. Roughly how many points do you need for a standard error of $0.01$ ? Give the nearest thousand.