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If a couple were planning to have three children, the sample space summarizing the gender outcomes would be: bbb,bbg,bgb,bgg,gbb,gbg,ggb,ggg:

1. Construct a similar sample space for the possible gender outcomes (using b for boy a g for girl) of two children?

2. Assuming that the outcomes listed in part 1 were equally likely, find the probability of getting two boy children?

3. Find the probability of getting exactly one boy child and one girl child?

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This solution is comprised of detailed step-by-step calculation and analysis of the given problem related to Probability and provides students with a clear perspective of the underlying concept.