diff --git a/README.org b/README.org
index 6621fd3..ecf9a3a 100644
--- a/README.org
+++ b/README.org
@@ -180,9 +180,9 @@ def one_turn_single(k):
 
 #+RESULTS:
 ** Multi-turn win probability
-Over many throws, the advantage of winning will decrease, approaching 50%.
+Over many throws, the advantage of going first will decrease, approaching 50%.
 
-We're assuming Bob goes first, and then is followed by Alice.
+We're assuming Bob goes first, and then Alice.
 For each throw, the probability of winning is the same.
 
 #+begin_src python