Suppose that an urn contains 8 red balls and 4
white balls. We draw 2 balls
from the urn without replacement.
Now suppose that the balls have
different weights, with each red ball having weight
r and each white ball having weight w. Suppose that the probability that a given ball in
the urn is the next one selected is its weight divided by the sum of the weights of all
balls currently in the urn.
Now what is the probability that both balls are red?
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