Urn 1 contains two white balls and one black ball, while urn 2 contains one white ball

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Urn 1 contains two white balls and one black ball, while urn 2 contains one white ball and five black balls. One ball is drawn at random from urn 1 and placed in urn 2.

A ball is then drawn from urn 2.

It happens to be white. What is the probability that the transferred ball was white?

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