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Suppose there are two urns (A and B). I will draw a token out of one of the two urns, drawing from urn A with

Suppose there are two urns (A and B). I will draw a token out of one of the two urns, drawing from urn A with probability 1/3 and from urn B with probability 2/3. Both urns contain tokens of equal size and weight. Urn A contains 4 red tokens and 1 green token (of equal size and weight). Urn B contains 1 red token, 1 yellow token and 2 green tokens. Let A = I drew out of urn A; B = I drew out of urn B; R = I drew a red token; G = I drew a green token; Y = I drew a yellow token Calculate the following probabilities: P r((A&R)(B&G))

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