Multiplying aliens

Discrete Mathematics Level pending

Imagine on a planet far away, there is organic life. The organism there come in two colour types- Blue and Green colour. At the start of their civilization, They had 7 blue coloured and 3 green coloured organisms. Each hour, the existing organisms splits into two identical ones of same colour. Immediately after splitting is completed, randomly, half of them perish due to their parasitic behavior. This process repeats and continues such that all organisms of same colour are left.

What is the probability that the green coloured organisms win? (that is all remaining are green ones).

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