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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