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One-fourth of the married couples in a far-off society have no children at all. The other three-fourths of families have exactly three children, each child

One-fourth of the married couples in a far-off society have no children at all. The other three-fourths of families have exactly three children, each child equally likely to be a boy or a girl. What is the probability that the male line of descent of a particular husband will eventually die out?

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