diff --git a/module2/exo1/toy_document_en.Rmd b/module2/exo1/toy_document_en.Rmd
index bae961c411daa333225198b6f6c328c180735ec9..fe0295b3fd9a0af254a700d72b3a84b6767dfa27 100644
--- a/module2/exo1/toy_document_en.Rmd
+++ b/module2/exo1/toy_document_en.Rmd
@@ -10,18 +10,22 @@ output: html_document:
 knitr::opts_chunk$set(echo = TRUE)
 ```
 
-## Some explanations
+```{r}	
+pi
 
 
 
-
-```{r cars}
-summary(cars)
-```
+set.seed(42)
+N = 100000
+x = runif(N)
+theta = pi/2*runif(N)
+2/(mean(x+sin(theta)>1))
 
 
 
-```{r pressure, echo=FALSE}
-plot(pressure)
-```
-
+set.seed(42)
+N = 1000
+df = data.frame(X = runif(N), Y = runif(N))
+df$Accept = (df$X**2 + df$Y**2 <=1)
+library(ggplot2)
+ggplot(df, aes(x=X,y=Y,color=Accept)) + geom_point(alpha=.2) + coord_fixed() + theme_bw()
\ No newline at end of file