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The fast food chain Macduff's is running a competition.
You obtain a card with 12 circles covered up.
You are allowed to scratch off up to three circles.
You win if 2 or more PALM TREES are revealed.
You lose if two or more CRABS are found.
If you win, you scratch off one of the three squares to show your prize.
One of the cards is illustrated below with all the circles and squares revealed. The ratio of PALM TREES to CRABS is always 2:1 but their positions can change.
The first circle you scratch off reveals a PALM TREE. What is the probability that the second circle reveals a PALM TREE?
Answer with a fraction.
