diff --git a/module2/exo1/toy_document_fr.html b/module2/exo1/toy_document_fr.html
index 518d14a1609974e9ceea4f6399bb371d88b5080c..f4e59e2d5aacf58386a9a990148d582e06d54ec9 100644
--- a/module2/exo1/toy_document_fr.html
+++ b/module2/exo1/toy_document_fr.html
@@ -9,11 +9,10 @@
 <meta http-equiv="X-UA-Compatible" content="IE=EDGE" />
 
 
-<meta name="author" content="Julien MARTY" />
+<meta name="author" content="Teonas" />
 
-<meta name="date" content="2020-04-04" />
 
-<title>Votre titre</title>
+<title>À propos du calcul de Pi</title>
 
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+<style type="text/css">
+  code{white-space: pre-wrap;}
+  span.smallcaps{font-variant: small-caps;}
+  span.underline{text-decoration: underline;}
+  div.column{display: inline-block; vertical-align: top; width: 50%;}
+  div.hanging-indent{margin-left: 1.5em; text-indent: -1.5em;}
+  ul.task-list{list-style: none;}
+    </style>
+
 <style type="text/css">code{white-space: pre;}</style>
 <style type="text/css">
   pre:not([class]) {
@@ -258,6 +266,7 @@ h6 {
 
 
 
+
 <style type="text/css">
 .main-container {
   max-width: 940px;
@@ -363,30 +372,42 @@ summary {
 
 
 
-<h1 class="title toc-ignore">Votre titre</h1>
-<h4 class="author">Julien MARTY</h4>
-<h4 class="date">04/04/2020</h4>
+<h1 class="title toc-ignore">À propos du calcul de Pi</h1>
+<h4 class="author">Teonas</h4>
+<h4 class="date">13 janvier 2021</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">\(\pi\)</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 <strong>approximation</strong> :</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">\(X \sim U(0,1)\)</span> et <span class="math inline">\(Y \sim U(0,1)\)</span> alors <span class="math inline">\(P[X^{2} + Y^{2} \le 1]= \pi /4\)</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 π 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>
 
 
@@ -398,7 +419,7 @@ summary {
 
 // add bootstrap table styles to pandoc tables
 function bootstrapStylePandocTables() {
-  $('tr.header').parent('thead').parent('table').addClass('table table-condensed');
+  $('tr.odd').parent('tbody').parent('table').addClass('table table-condensed');
 }
 $(document).ready(function () {
   bootstrapStylePandocTables();