Twenty years ago, Juan Medina and Bertha Zenith got married. The Medina-Zenith family's biggest life aspiration was to have a baby girl. Luck was not on their side. They had eight boys in a row. They were determined to follow their aspiration and have the 9th child. But lo and behold, their ninth child is was a boy. According to the family's doctor, it is very unlikely for a family to have eight boys in a row followed by a girl. However, according to Professor Simpson-Rodgers, if a couple has nine children, it is guaranteed that at least one of the children will be a girl. We want to know who is correct by answering the questions that follow.
Twenty years ago, Juan Medina and Bertha Zenith got married. The Medina-Zenith family's biggest life aspiration was to have a baby girl. Luck was not on their side. They had eight boys in a row. They were determined to follow their aspiration and have the 9th child. But lo and behold, their ninth child is was a boy. According to the family's doctor, it is very unlikely for a family to have eight boys in a row followed by a girl. However, according to Professor Simpson-Rodgers, if a couple has nine children, it is guaranteed that at least one of the children will be a girl. We want to know who is correct by answering the questions that follow.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:How many boys would you expect that a family of nine will
have? Show all calculations.
Transcribed Image Text:Twenty years ago, Juan Medina and Bertha Zenith got married.
The Medina-Zenith family's biggest life aspiration was to have a
baby girl. Luck was not on their side. They had eight boys in a row.
They were determined to follow their aspiration and have the 9th
child. But lo and behold, their ninth child is was a boy.
According to the family's doctor, it is very unlikely for a family to
have eight boys in a row followed by a girl.
However, according to Professor Simpson-Rodgers, if a couple has
nine children, it is guaranteed that at least one of the children will
be a girl. We want to know who is correct by answering the
questions that follow.
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