How many left?
Bargan Day
How many left?
Professor Askem was conducting a demonstration before his probability class. "These two bags," he told the class, "have similar contents. Each bag contains four blue marbles, four red marbles, and four yellow marbles. I will now select at random from Bag Number 1 enough marbles (but only just enough) to ensure that my selection includes at least two marbles of any one color, plus one marble at least of either of the other colors, and transfer them to Bag Number 2. "Now," said the professor, again closing his eyes, "I transfer from Bag Number 2 back to Bag Number 1 enough marbles (but only just enough) to ensure that there will be at least three marbles of each of the three marbles of each of the three colors in Bag Number 1." How many marbles did the professor leave in Bag Number 2?
Answer
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