Sarah and Thomas play a card game to determine who will have to take out the trash

Question:

Sarah and Thomas play a card game to determine who will have to take out the trash (the loser gets this unpopular chore) on Monday. They use a standard 52-card deck by taking turns randomly drawing cards from a shuffled deck, with replacement, until somebody draws an ace. Whoever gets the ace does not have to do the chore.
a. How long do they expect to have to play the game?
b. What is the probability that it takes at least four cards for them to find an ace?
c. If they play this game for six weeks, what is the probability it takes at least four cards for them to find an ace on each of those 6 Mondays? What is being used here? What are the parameters? Distribution
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