Jesse and three of his friends are playing Poker with 32 cards, The 32 cards are of every combination of the for patterns with the numbers 1, 7-13. In this game, each player takes five cards randomly.
1) Let X be the number of cards between the five Jesse got, with the number "1" on them. What is the probability function of $X$?
2) What is the probability that Jesse will have at least three cards with the same number?
3) During the evening, the four players played a number of rounds. In every round new cards were given out between the 32. Jesse decided he will stop playing after he will receive at lease three cards with the same number, in two games. What is the probability Jesse will play six games?
WIll someone please help me understand how to solve this question? In part c, is it a geometric probability based on part b ?
Thanks in advance