The Two Envelope Problem: There Is No Conundrum

We consider the famous two envelope conundrum and show, in a very simple way, that there is no conundrum. Our discussion is supported by numerical simulations. We use the problem to raise the issue of disputes in mathematics, rarely touched upon in mathematics education. We suggest that it is worthwhile to expose students of mathematics to such controversies and that this problem can be introduced in the classroom via an experimental demonstration.