Using simulation I did some analysis to see how the winner of each round (preflop, flop, turn and river) correlates to the next round.
Following is the result:
Hand Flop Turn River Win
AA 100.00 72.80 59.60 48.40 48.40
KK 100.00 60.80 51.20 40.20 40.20
Any hand 100.00 32.07 29.63 27.29 27.29
Flop 0.00 100.00 64.71 50.60 50.60
Turn 0.00 0.00 100.00 66.53 66.53
River 0.00 0.00 0.00 100.00 100.00
Statistics were taken over thousand deals, with six players. Error is in +/- 2%.
Way to read this: A best hand in preflop round, continues to be in the lead only 32% of the time on flop, 29.63% on turn. 27,29% on river, and wins 27.29%. Lead hand on the flop wins only 51%. Lead on the turn wins 66.53% of the time. River makes difference two third of the time. Likewise.