"Applying the method of [Buffon’s needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the **approximation**"
"## 1.2 Buffon’s needle\n",
"Applying the method of [Buffon’s needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the __approximation__"
]
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{
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"cell_type": "markdown",
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"### 1.3 Using a surface fraction argument \n",
"A method that is easier to understand and does not make use of the sin function is based on the fact that if X ∼ U(0, 1) and Y ∼ U(0, 1), then $P[X^2 + Y^2 ≤ 1]$ = π/4 (see \"[Monte Carlo method\"\n",
"## 1.3 Using a surface fraction argument \n",
"A method that is easier to understand and does not make use of the sin function is based on the fact that if $X\\sim U(0,1)$ and $Y\\sim U(0,1)$, then $P[X^2+Y^2\\leq 1] = \\pi/4$ (see \"[Monte Carlo method\"\n",
"on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:"