Random question to help out with a card game.

[Macgates92]

If I have a deck of 10 cards. 3 are the same type we will call them x. The other 7 are all the same type we will call them y. My question is if I shuffled and drew 5 cards from the 10 card deck what are the statistics I'll draw 5y.
This question has to do with a game I play where we draw from the deck to make a hand. One of our friends always has the same starting hand even though the deck is shuffled. We were talking about the probability of this happening every time.

 

[Ishuda]

If I have a deck of 10 cards. 3 are the same type we will call them x. The other 7 are all the same type we will call them y. My question is if I shuffled and drew 5 cards from the 10 card deck what are the statistics I'll draw 5y.
This question has to do with a game I play where we draw from the deck to make a hand. One of our friends always has the same starting hand even though the deck is shuffled. We were talking about the probability of this happening every time.

What are your thoughts? Please read the post titled"Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33

Hint: EVERY TIME? In a fair shuffle and deal? The probability is zero. Even that happening twice in a row is very small. You might want to read
https://gabrieletolomei.wordpress.com/miscellanea/combinatorics/combinations-and-permutations/