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TopicHelp me understand your reasoning in solving the following easy problem
Golden Road
04/05/17 9:06:39 PM
#62:


piccolo1104 posted...
Golden Road posted...
I'll go back to this:

Ann, Courtney
Heidi, Bradley
Gary, Emily

Yes, only one of these three families has 2 girls, while two of them have a boy and a girl. But they're not equally likely to be chosen. If you choose Ann or Courtney, then you have the family with two sisters. If you choose Heidi or Emily, you have a family with a brother and sister. You're twice as likely to choose the girl-girl family, which offsets having only half as many girl-girl families.

You're not choosing the individual kids, you're choosing the family. Your choices are family A (Ann and Courtney), family B (Heidi and Bradley), or family C (Gary, Emily).

You're choosing Ann's family, Courtney's family, Heidi's family, or Emily's family. We don't care about Bradley's or Gary's families. While there are only three families, one of those families is twice as likely to be chosen than the other two.
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