That may have been what he had in mind, but he made no indication as to there being a conditional probability. Furthermore, in the context of where he was going

That may have been what he had in mind, but he made no indication as to there being a conditional probability. Furthermore, in the context of where he was going with it, I recall that there wasn't one either so he was getting the wrong answer as a result. He believed the not-looking-at-the-order was the critical thing making it 1/3 rather than 1/4.