Julien has three boxes of socks. In the first he has 3 white and 2 blue...

Julien has three boxes of socks. In the first he has 3 white and 2 blue socks, in the second he has 4 red and 3 white, while in the third box he has 3 red and 4 blue.
Julien chooses a box uniformly and fishes two socks out of it.

(a) What is the probability of Julien getting at least one red stocking?
(b) What is the probability that Julien will receive a matching pair of socks if he chooses box number one?
(c) What is the probability that Julien will receive a matching pair of socks?
(d) Given that Julien received a matching pair of socks, what is the probability that he chose box number 1?

Expert Solution

orchestra answered 3 years ago

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