Friday, 23 August 2013

Total probability, Bayes

Total probability, Bayes

There are 2 identical containers. The first one has 5 white and 8 black
balls, the second one has 7 white and 9 black balls. 3 balls are randomly
taken out of the first container and 4 balls are randomly taken from the
second container. All of the balls (7) are put in a third container. If a
ball is taken out of the third container, what is the probability that it
will be white?

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