A bag contains 5 black and 20 blue marbles.
They are to be drawn one at a time until all of one color has been exhausted.
What is the probability that the color of the first marble drawn is the same as the first color exhausted?
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Consider drawing all 25 marbles instead of stopping when one color is exhausted. All that really matters is the first and last are different colors:
2 ∗ 2 5 5 ∗ 2 4 2 0 = 3 1