This one is uniquely impressive in that often when first described to someone they will be all but certain it doesn't matter. Many I told were just about ready

This one is uniquely impressive in that often when first described to someone they will be all but certain it doesn't matter. Many I told were just about ready to argue their view to death and asserted the switch your choice conclusion is wrong despite them having no formal learning on the subject. This and the birthday problem effectively illustrate how intuitively bad we are at probability and statistics in general.