Green and blue gummy bears

Discrete Mathematics Level 3

A bag contains gummy bears of 2 colors: blue and green.
There are 6 blue gummy bears.
If 2 bears are drawn at random from the bag, the probability that there is a bear of each colour is \(\dfrac12\).
How many green gummy bears are in the bag?
Give the sum of all possible answers.

Image Credit: Flickr Derrick Diemont.

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