Question

Joe dealt 20 cards from a standard 52-card deck, and the number of red cards exceeded the number of black cards by 8. He reshuffled the cards and dealt 30 cards. This time, the number of red cards exceeded the number of black cards by 10. Determine which deal is closer to the 50/50 ratio of red/black expected of fairly dealt hands from a fair deck and why.

Answer 1

r-b = 8
r+b = 20
solve for r and b
find r/(r+b)

r-b = 10
r+b = 30
solve for r and b
find r/(r+b)