diff --git a/module2/exo1/toy_document_fr.html b/module2/exo1/toy_document_fr.html
index d5c16c6011d6877290cf5f81e356a213ca1d0d6c..85a6a33625d8b53649feecf7c99f805ea40c4366 100644
--- a/module2/exo1/toy_document_fr.html
+++ b/module2/exo1/toy_document_fr.html
@@ -13,7 +13,7 @@
 <meta name="author" content="Martin CHAVANT" />
 
 
-<title>Votre titre</title>
+<title>À propos du calcul de pi</title>
 
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@@ -362,30 +362,42 @@ summary {
 
 
 
-<h1 class="title toc-ignore">Votre titre</h1>
-<h4 class="author">Martin CHAVANT</h4>
-<h4 class="date">La date du jour</h4>
+<h1 class="title toc-ignore">À propos du calcul de pi</h1>
+<h4 class="author"><em>Martin CHAVANT</em></h4>
+<h4 class="date"><em>08 mai 2020</em></h4>
 
 </div>
 
 
-<div id="quelques-explications" class="section level2">
-<h2>Quelques explications</h2>
-<p>Ceci est un document R markdown que vous pouvez aisément exporter au format HTML, PDF, et MS Word. Pour plus de détails sur R Markdown consultez <a href="http://rmarkdown.rstudio.com" class="uri">http://rmarkdown.rstudio.com</a>.</p>
-<p>Lorsque vous cliquerez sur le bouton <strong>Knit</strong> ce document sera compilé afin de ré-exécuter le code R et d’inclure les résultats dans un document final. Comme nous vous l’avons montré dans la vidéo, on inclue du code R de la façon suivante:</p>
-<pre class="r"><code>summary(cars)</code></pre>
-<pre><code>##      speed           dist       
-##  Min.   : 4.0   Min.   :  2.00  
-##  1st Qu.:12.0   1st Qu.: 26.00  
-##  Median :15.0   Median : 36.00  
-##  Mean   :15.4   Mean   : 42.98  
-##  3rd Qu.:19.0   3rd Qu.: 56.00  
-##  Max.   :25.0   Max.   :120.00</code></pre>
-<p>Et on peut aussi aisément inclure des figures. Par exemple:</p>
-<p><img src="data:image/png;base64,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" width="672" /></p>
-<p>Vous remarquerez le paramètre <code>echo = FALSE</code> qui indique que le code ne doit pas apparaître dans la version finale du document. Nous vous recommandons dans le cadre de ce MOOC de ne pas utiliser ce paramètre car l’objectif est que vos analyses de données soient parfaitement transparentes pour être reproductibles.</p>
-<p>Comme les résultats ne sont pas stockés dans les fichiers Rmd, pour faciliter la relecture de vos analyses par d’autres personnes, vous aurez donc intérêt à générer un HTML ou un PDF et à le commiter.</p>
-<p>Maintenant, à vous de jouer! Vous pouvez effacer toutes ces informations et les remplacer par votre document computationnel.</p>
+<div id="en-demandant-à-la-lib-maths" class="section level2">
+<h2>En demandant à la lib maths</h2>
+<p>Mon ordinateur m’indique que <span class="math inline">\(π\)</span> vaut <em>approximativement</em></p>
+<pre class="r"><code>pi</code></pre>
+<pre><code>## [1] 3.141593</code></pre>
+</div>
+<div id="en-utilisant-la-méthode-des-aiguilles-de-buffon" class="section level2">
+<h2>En utilisant la méthode des aiguilles de Buffon</h2>
+<p>Mais calculé avec la <strong>méthode</strong> des <a href="https://fr.wikipedia.org/wiki/Aiguille_de_Buffon">aiguilles de Buffon</a>, on obtiendrait comme approximation :</p>
+<pre class="r"><code>set.seed(42)
+N = 100000
+x = runif(N)
+theta = pi/2*runif(N)
+2/(mean(x+sin(theta)&gt;1))</code></pre>
+<pre><code>## [1] 3.14327</code></pre>
+</div>
+<div id="avec-un-argument-fréquentiel-de-surface" class="section level2">
+<h2>Avec un argument “fréquentiel” de surface</h2>
+<p>Sinon, une méthode plus simple à comprendre et ne faisant pas intervenir d’appel à la fonction sinus se base sur le fait que si <span class="math inline">\(X∼U(0,1)\)</span> et <span class="math inline">\(Y∼U(0,1)\)</span> alors <span class="math inline">\(P[X2+Y2≤1]=π/4\)</span> (voir <a href="https://fr.wikipedia.org/wiki/M%C3%A9thode_de_Monte-Carlo#D%C3%A9termination_de_la_valeur_de_%CF%80">méthode de Monte Carlo sur Wikipedia</a>). Le code suivant illustre ce fait:</p>
+<pre class="r"><code>set.seed(42)
+N = 1000
+df = data.frame(X = runif(N), Y = runif(N))
+df$Accept = (df$X**2 + df$Y**2 &lt;=1)
+library(ggplot2)
+ggplot(df, aes(x=X,y=Y,color=Accept)) + geom_point(alpha=.2) + coord_fixed() + theme_bw()</code></pre>
+<p><img src="data:image/png;base64,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" width="672" /></p>
+<p>Il est alors aisé d’obtenir une approximation (pas terrible) de <span class="math inline">\(π\)</span> en comptant combien de fois, en moyenne, <span class="math inline">\(X^2+Y^2\)</span> est inférieur à 1:</p>
+<pre class="r"><code>4*mean(df$Accept)</code></pre>
+<pre><code>## [1] 3.156</code></pre>
 </div>