Problem:
Two cards are dealt from a deck of four red cards labeled and four green cards labeled . A winning pair is two of the same color or two of the same letter. What is the probability of drawing a winning pair?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
After the first card is dealt, there are seven left. The three cards with the same color as the initial card are winners and so is the card with the same letter but a different color. That means four of the remaining seven cards form winning pairs with the first card, so the probability of winning is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions