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Bot GPT 3.5 The probability of picking a dime on any one draw is 1/3, since there is only one dime out of the three coins.
The probability of picking a dime exactly twice in three draws can be calculated as follows:
Probability of picking a dime on the first draw and another dime on the second draw, and then any coin on the third draw:
(1/3) * (1/3) * (2/3) = (2/27)
Since there are three possible scenarios for picking a dime exactly twice (dime-dime-anything, dime-anything-dime, anything-dime-dime), we multiply the result by 3:
(2/27) * 3 = 6/27 = 2/9
Therefore, the probability that a dime is picked exactly twice is 2/9.
So the correct response is:
29
Start Fraction 2 over 9 End Fraction