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Answer step by step, explain all proofs neatly for a guaranteed thumbs up please Cristiano has two buckets of footballs. The 2 buckets are named

Answer step by step, explain all proofs neatly for a guaranteed thumbs up please

Cristiano has two buckets of footballs.

The 2 buckets are named X and Y.

Bucket X has 3 green footballs and 9 yellow footballs.

Bucket Y has 4 green footballs and 4 yellow footballs.

Cristiano picks a bucket uniformly at random and then takes out a football uniformly at random from that bucket.

Given this reference, What's the probability Cristiano chose bucket X given he drew a yellow football? What's the probability Cristiano chose bucket X given he drew a green ball?

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