<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Two bags contain different numbers of colored marbles. The first bag contains 2 red marbles and 2 blue marbles. The second bag contains 2 red marbles, 2 blue marbles, and g green marbles, where g > 0. Calculate the value of g such that the probabilities of randomly drawing two marbles of the same color from each bag, without replacement, are equal. Express your answer as a positive integer. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
5
Two bags contain different numbers of colored marbles. The first bag contains 2 red marbles and 2 blue marbles. The second bag contains 2 red marbles, 2 blue marbles, and g green marbles, where g > 0. Calculate the value of g such that the probabilities of randomly drawing two marbles of the same color from each bag, without replacement, are equal. Express your answer as a positive integer.
test