Rank in order these probabilities from least to greatest based on an ordinary 52-card deck. Five pumpkins are weighed two at a time in all ten sets of two.
All individual weights are also integers.
A large tank has a steadily flowing intake and 10 outlet valves, the latter being all of the same size. A courier pigeon departs Las Vegas for Reno at the same time as another courier pigeon departs Reno for Las Vegas. Both pigeons fly at constant speeds, although different from each other. They cross paths 2x miles from Las Vegas. After each arrives at their destination they immediately turn around, going back and forth without breaks.