THE “TWO GIRLS” PROBLEM AND THE MONTY
HALL PROBLEM COMPARED
BY
MICHAEL JEWESS
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This
work was published in the Mathematical
Gazette.
The
assumed background to this text is the “two girls” problem, which can be
summarised as follows:
In a randomly chosen family with two children, if
boys and girls are equally likely, there is a ¼ chance that there are two
girls. This problem is concerned with
what more accurate statistical inference can be made from the additional, true
statement that, in the family, “at least one of the two children is a girl who
was born on a Tuesday”.
Keywords: probability, Monty Hall, two girls problem.
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