Posted by Anna on Saturday, January 2, 2010 at 3:20pm.
There are eight possible card arrangements with equal probability. The first of each pair listed below is the first draw. B' is one of the black sides of the two-sided black card.
The possibilities are:
B/W and B/B'; B/W and B'/B; W/B and B/B'; W/B and B/B', B/B' and W/B; B/B' and B/W; B'/B and W/B; B'/B and B/W. Six of these possibilities give Black in the first draw. The only possibilities after getting a B or B' are the following six:
B/W and B/B'; B/W and B'/B; B/B' and W/B; B/B' and B/W; B'/B and W/B; B'/B and B/W.
Two of those six result in white for the second draw. The probability of white is 1/3.
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