New York City's placebo buttons and "The Post Hoc Fallacy"

OMG, You have just made a convincing case for Pascals Wager.
No Sarcasm - This is a fair and rational way of approaching that black box, given that it it’s not until the light changes that you get to see whether the light changes.

If you get the chance to run the test more than one time on the same corner - we may be able to draw conclusions. … but assuming we only ever get one go at it in an unknown environment - then the rational choice is to try it anyway.
Nice reasoning!