What is the probability the urn is typea

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There is a room filled with two types of urns.

  • TypeA urns have 3 yellow marbles, 2 green.
  • Type B urns have 4 yellow marbles, 1 green.

a) The two types of urn look identical, but 80% of them are TypeA. You pick an urn at random, and start randomly drawing marbles without replacement. If the first draw is yellow and the second draw is green, what is the probability the urn is TypeA?

b) Continuing the previous problem: if the first draw is yellow and the second draw is green, what is the probability the third draw will be green?

Reference no: EM132849193

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