- #1
roeb
- 107
- 1
Homework Statement
A gin hand consists of 10 cards from a deck of 48 cards (4 Ace Cards are missing).
Find the probability that a gin hand has all 10 cards from two suits.
Homework Equations
The Attempt at a Solution
So my thinking would be since we have 12 cards per suit and we are picking from two out of four possible suits, so Probability = ( 24 pick 10 ) * (4 pick 2) / (48 pick 10 )
In the actual answer there is another factor that I'm missing: (4 pick 2) [ (24 pick 10) - (2 pick 1)*(12 pick 10) ] / ( 48 pick 10)
Does anyone know where this extra term comes from? (2 pick 1)*(12 pick 10)