Again, the answer depends on how this information was presented - what kind of selection process produced this knowledge. Only two of these possible events meet the criteria specified in the question i. Following the popularization of the paradox by Gardner it has been presented and discussed in various forms. From Bayes' Theorem that the probability of two boys, given that one boy was born on a Tuesday is given by:. Ambiguity notwithstanding, this makes the problem of interest to psychological researchers who seek to understand how humans estimate probability. Smith has at least one boy i.
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