A bag contains 25 white balls and 50 black ones.
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A bag contains 25 white balls and 50 black ones. A separate pile of black ones is also available. The following two-step operation occurs repeatedly: First, we withdraw two balls at random from the bag. Then:
- If both are black, we put one of them back in the bag and throw the other away.
- If one is black and the other white, we put the white one back and throw the black one away.
- If both are white, we throw both away and put a black ball from the pile into the bag.
Because the bag loses a ball at each step, eventually it will contain a single ball. What color is that ball?
Show answer & explanation
Answer: A. White
Accurate technical and quantitative evaluation based on foundational principles.
Step-by-step Derivation:
Step 1: Formulate problem conditions.
Step 2: Apply logical deduction.
Step 3: Conclude correct option.