Solution to: The Prince and the Pearls

Three pearls can be the white pearl that was taken from the chosen vase:

• The first pearl from the vase with two white pearls: in this case, the other pearl is also white.
• The second pearl from the vase with two white pearls: in this case, the other pearl is also white.
• The white pearl from the vase with one white and one black pearl: in this case, the other pearl is black.

The probability that the other pearl in the same vase is also white, is therefore ²⁄₃.

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