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I have to create a game for my stats class and my card game is that...

I have to create a game for my stats class and my card game is that each play, every player is given 4 cards and their goal is to match the suits. for every pair they win $2, for every 3 its $5, and for all four of the same suit its $10. What are the odds of winning 1 pair, 2 pairs, 3, and all 4? thank you :)
math   Statistics-And-Probability   
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Answer #1

Odds of winning 1 pair:
2 of one suit, other 2 of two different suits
= (4C1 x 13C2) x (3C2 x 13C1 x 13C1) / 52C4
Odds of winning 2 pair:
2 of one suit, other 2 of any different suit
= (4C2 x 13C2 x 13C2) / 52C4
Odds of winning 3 pair:
3 of one suit, fourth of any different suit
= (4C1 x 13C3 x 3C1 x 13C1) / 52C4
Odds of winning 4 pair:
all 4 of same suit
= (4C1 x 13C4) / 52C4


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