To pass the time Alice and Bob play a simple game of chance where cards are drawn in pairs from a shuffled standard 52-card deck. If two red cards are drawn Alice wins the round. If two black cards are drawn Bob wins the round. Otherwise the round continues and they draw another pair of cards.
To make things interesting, Alice and Bob wager as follows. Before a pair of cards is drawn each player antes up $1 + n$ dollars, where $n$ is the number of cards drawn in the round so far, with the pot going to the eventual winner of the round. For example, if Bob wins after a sequence black-red,black-black he nets \$4 since each player contributed \$1 before the 1st draw and \$3 before the 2nd.
If the deck is exhausted before a round is won then all cards are gathered and reshuffled and the round continues with the fresh deck (without resetting the count for wagering).
In the interest of moving things along, Alice and Bob are both willing to play multiple rounds without collecting cards and reshuffling as long as they view the expected value of the next round as close to even. Each has their own rough threshold for “close”, but Alice is faster to call for reshuffles than Bob.
After starting the game with 3 remarkable rounds, and having reshuffled once due to an exhausted deck, Alice and Bob are both breaking even with \$0 net gain or loss. So far neither player has been close to calling for a reshuffle, but Bob calls for one now before continuing.
How many cards were drawn in each of the 3 rounds, and who won each round?