If we know one was born on Tuesday, we can "roughly" distinguish the two children by "born on Tuesday" and "not born on Tuesday" (with a small probability that both were born on Tuesday). So the answer is "almost" $0.5$, since it is similar to …

Jun 8, 2010 · Get 196 beans, and write each possible combination of two of the 14 “types” of children on individual beans; one “type” on each side. 27 of them will have “Tuesday Boy” written on them somewhere, and 13 of those will have “boy” written twice.

The first term in the numerator is the probability of at least one boy born on Tuesday, given that the family has two boys, or 1 − (1 − ε) 2 (one minus the probability that neither boy is born on Tuesday). For the denominator, let us decompose:

Jun 29, 2010 · If you have two sons, you have a much better chance of having one of them born on Tuesday. So to answer the June 29th question, of the 1/4 of all two-child families who have two boys, 729/133225 have at least one born on Tuesday. Of the 1/2 of families with one boy, 1/365 have one born on Tuesday.

Peter has a son born on a Tuesday. (That is, at least one of Peter’s children is a boy born on a Tuesday.) Now we are asked the fol­low­ing ques­tion, for Case A and Case B sep­a­rately: What is the probability that Peter has a daughter? (That is, what is the probability that one of Peter’s children is a girl?)

There are 196 possible combinations of day+gender in a two-child family. 27 of those include Tuesday Boy, and 13 of those have two boys. The answer in case #2 is 1/2, because Mr. Jones could have told you about, say, a girl who was born on a Thursday when he also had a boy who was born on a Tuesday.

Statement 1: "I have two children. One of them is a boy. What is the probability I have two boys?" -- OK, the explanation makes sense, it's 1/3. Statement 2: "I have two children. One is a boy born on a Tuesday. What is the probability I have two boys?" -- Again, the …

Dec 2, 2020 · There are 27 combinations that include a boy born on a Tuesday; of these, 13 have two boys, both born on Tuesday. Therefore, the probability of two boys is now 13/27 – quite close to ½ ( Figure 1 ).

Apr 9, 2010 · Suppose you meet a friend who you know for sure has two children, and he says: “I have a son born on Tuesday.” What is the probability that the second child of this man is also a son? People argue about this problem a lot.

Jun 11, 2010 · The Tuesday Boy puzzle is like the two boy puzzle, except now we're not just told that one of the children is a boy, we're told one of them is a boy born on a Tuesday. So how does this...