diff --git a/game/sudoku.ipynb b/game/sudoku.ipynb
index a26d90b..2e7dc7e 100644
--- a/game/sudoku.ipynb
+++ b/game/sudoku.ipynb
@@ -185,7 +185,7 @@
     "\n",
     "Step 2 makes sure that Peggy doesn't change the shuffling later.\n",
     "\n",
-    "Steps 3 to 5 verify one area of the board. Victor may choose to verify the presets. The values of these cells are public, so he computes how Peggy mapped the numbers to arrive at her shuffled presets. The shuffling is valid if equal cells are still equal (in value) and inequal cells are still inequal.\n",
+    "Steps 3 to 5 verify one area of the board. Victor may choose to verify the presets. The values of these cells are public, so he computes how Peggy mapped the numbers to arrive at her shuffled presets. The shuffling is valid if equal cells are still equal (in value) and unequal cells are still unequal.\n",
     "\n",
     "This **one round** of the proof. Peggy and Victor can **repeat the same steps to add more rounds**."
    ]
@@ -518,7 +518,7 @@
     "1. For each selected cell, commit to its assigned value\n",
     "1. For each other cell, commit to a random value\n",
     "\n",
-    "The case where Victor verifies the presets is slightly more complicated. We have to randomy shuffle the numbers and create corresponding commitments. I skipped this part in the Python code because it is too much work.\n",
+    "The case where Victor verifies the presets is slightly more complicated. We have to randomly shuffle the numbers and create corresponding commitments. I skipped this part in the Python code because it is too much work.\n",
     "\n",
     "Let's run a chi-square test to see if the original transcripts are distinguishable from the fake transcripts.\n",
     "\n",