A-M baby
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MonteCarloPi[samplesize_Integer] := N[4Mean[If[# > 1, 0, 1] & /@ Norm /@ RandomReal[1, {samplesize, 2}]]]
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{#, MonteCarloPi[#]} & /@ (10^Range[1, 7]) // Grid
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10 3.2
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100 3.16
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1000 3.152
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10000 3.1228
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100000 3.14872
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1000000 3.1408
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10000000 3.14134
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