There is a game with three types of cards.
Win cards, If you get one of these, you win.
Lose card, if you get this, you lose.
Revive card: If you get one of these, you draw another card.
Now Initially we have a deck of cards of all three types. p Win cards, q Lose cards, and r revive cards. The deck is well shuffled.
Then we take the first s cards of the deck ( s < p + q ) and discard them. What is the probability That I would win the game now.
This is an excercise from my book. How do we approach this problem?