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Welcome to the language barrier between physicists and mathematicians Here in the question it is not stated that the couple has exactly 4 children Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators

What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ What's wrong with my reasoning The answer usually given is

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I have known the data of $\\pi_m(so(n))$ from this table The generators of $so(n)$ are pure imaginary antisymmetric $n \\times n$ matrices Yes but $\mathbb r^ {n^2}$ is connected so the only clopen subsets are $\mathbb r^ {n^2}$ and $\emptyset$ Each of 20 families selected to take part in a treasure hunt consist of a mother, father, son, and daughter

Assuming that they look for the treasure in pairs that are randomly chosen from the 80 In case this is the correct solution Why does the probability change when the father specifies the birthday of a son A lot of answers/posts stated that the statement does matter) what i mean is

It is clear that (in case he has a son) his son is born on some day of the week.

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What is the probability that their 4th child is a son (2 answers) closed 8 years ago As a child is boy or girl This doesn't depend on it's elder siblings

So the answer must be 1/2, but i found that the answer is 3/4

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