You are fairly more likely to lose this game than you are to win because not only do you have to win 5 more times than she does before you lose your 3 lives, but she always changes her cards after you do meaning she gets to draw from a smaller deck. Most likely the cards that you draw are not what she is going for, in which case she has a better chance to get what she needs from the remaining cards in the deck. It should instead alternate who discards first for true fairness like in real poker, but even having the player always discarding second instead would be an improvement so you could use that to your advantage.