QHE Question:

Imagine four bags of red and green balls such that when you choose a ball at random;

P(choose a red ball from Bag A) > P(choose a red ball from Bag C) and P(choose a red ball from Bag B) > P(choose a red ball from Bag D)

You combine the contents of Bag A and Bag B into Bag E and the contents of Bag C and Bag D into Bag F.

Would you expect that;

(A) P(choose a red ball from Bag E) < P(choose a red ball from Bag F)

(B) P(choose a red ball from Bag E) > P(choose a red ball from Bag F)

(C) P(choose a red ball from Bag E) = P(choose a red ball from Bag F)

(d) Too little information.

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