dtmbinb
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The correct answer of 2/3 can also be obtained as follows:
Originally, all six coins were equally likely to be chosen.The chosen coin cannot be from drawer S of box GS, or from either drawer of box SS. So it must come from the G drawer of box GS, or either drawer of box GG.The three remaining possibilities are equally likely, so the probability that the drawer is from box GG is 2/3.
Originally, all six coins were equally likely to be chosen.The chosen coin cannot be from drawer S of box GS, or from either drawer of box SS. So it must come from the G drawer of box GS, or either drawer of box GG.The three remaining possibilities are equally likely, so the probability that the drawer is from box GG is 2/3.